16545715901064 has 384 divisors, whose sum is σ = 54134775152640. Its totient is φ = 4636181152512.

The previous prime is 16545715901063. The next prime is 16545715901087. The reversal of 16545715901064 is 46010951754561.

16545715901064 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 571 + 5 + 9 + 0 + 1 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 16545715901064.

It is not an unprimeable number, because it can be changed into a prime (16545715901063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2861092717 + ... + 2861098499.

It is an arithmetic number, because the mean of its divisors is an integer number (140975976960).

Almost surely, 2^{16545715901064} is an apocalyptic number.

16545715901064 is a gapful number since it is divisible by the number (14) 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 16545715901064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27067387576320).

16545715901064 is an abundant number, since it is smaller than the sum of its proper divisors (37589059251576).

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

16545715901064 is a wasteful number, since it uses less digits than its factorization.

16545715901064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9831 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 16545715901064 in words is "sixteen trillion, five hundred forty-five billion, seven hundred fifteen million, nine hundred one thousand, sixty-four".