16455337113600 has 3888 divisors, whose sum is σ = 79568755320600. Its totient is φ = 3229109452800.

The previous prime is 16455337113599. The next prime is 16455337113667. The reversal of 16455337113600 is 631173355461.

16455337113600 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 5 + 3 + 37 + 1 + 1 + 3 + 600 = 666.

16455337113600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 323 ways as a sum of consecutive naturals, for example, 51909580642 + ... + 51909580958.

Almost surely, 2^{16455337113600} is an apocalyptic number.

16455337113600 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 16455337113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39784377660300).

16455337113600 is an abundant number, since it is smaller than the sum of its proper divisors (63113418207000).

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

16455337113600 is a wasteful number, since it uses less digits than its factorization.

16455337113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 16455337113600 in words is "sixteen trillion, four hundred fifty-five billion, three hundred thirty-seven million, one hundred thirteen thousand, six hundred".