16148643840 has 720 divisors, whose sum is σ = 67237884000. Its totient is φ = 3666345984.

The previous prime is 16148643839. The next prime is 16148643877. The reversal of 16148643840 is 4834684161.

16148643840 is a `hidden beast` number, since 161 + 486 + 4 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108380086 + ... + 108380234.

It is an arithmetic number, because the mean of its divisors is an integer number (93385950).

Almost surely, 2^16148643840 is an apocalyptic number.

16148643840 is a gapful number since it is divisible by the number (10) 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 16148643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33618942000).

16148643840 is an abundant number, since it is smaller than the sum of its proper divisors (51089240160).

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

16148643840 is an equidigital number, since it uses as much as digits as its factorization.

16148643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 16148643840 in words is "sixteen billion, one hundred forty-eight million, six hundred forty-three thousand, eight hundred forty".