32463633861120 has 3840 divisors, whose sum is σ = 146123447500800. Its totient is φ = 5991078297600.

The previous prime is 32463633861079. The next prime is 32463633861163. The reversal of 32463633861120 is 2116833636423.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 32463633861120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 141762593166 + ... + 141762593394.

It is an arithmetic number, because the mean of its divisors is an integer number (38052981120).

Almost surely, 2^{32463633861120} is an apocalyptic number.

32463633861120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32463633861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73061723750400).

32463633861120 is an abundant number, since it is smaller than the sum of its proper divisors (113659813639680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32463633861120 is a wasteful number, since it uses less digits than its factorization.

32463633861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 32463633861120 in words is "thirty-two trillion, four hundred sixty-three billion, six hundred thirty-three million, eight hundred sixty-one thousand, one hundred twenty".