451881561600 has 1440 divisors, whose sum is σ = 1919920242240. Its totient is φ = 99373547520.

The previous prime is 451881561533. The next prime is 451881561631. The reversal of 451881561600 is 6165188154.

451881561600 is a `hidden beast` number, since 4 + 5 + 1 + 8 + 81 + 561 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4145702346 + ... + 4145702454.

It is an arithmetic number, because the mean of its divisors is an integer number (1333277946).

Almost surely, 2^451881561600 is an apocalyptic number.

451881561600 is a gapful number since it is divisible by the number (40) 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 451881561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959960121120).

451881561600 is an abundant number, since it is smaller than the sum of its proper divisors (1468038680640).

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

451881561600 is a wasteful number, since it uses less digits than its factorization.

451881561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 451881561600 in words is "four hundred fifty-one billion, eight hundred eighty-one million, five hundred sixty-one thousand, six hundred".