16101615504312 has 192 divisors, whose sum is σ = 48516904800000. Its totient is φ = 4790676234240.

The previous prime is 16101615504311. The next prime is 16101615504323. The reversal of 16101615504312 is 21340551610161.

16101615504312 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 1 + 61 + 550 + 43 + 1 + 2 = 666.

16101615504312 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16101615504311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36018838 + ... + 36463130.

It is an arithmetic number, because the mean of its divisors is an integer number (252692212500).

Almost surely, 2^{16101615504312} is an apocalyptic number.

16101615504312 is a gapful number since it is divisible by the number (12) 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 16101615504312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24258452400000).

16101615504312 is an abundant number, since it is smaller than the sum of its proper divisors (32415289295688).

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

16101615504312 is a wasteful number, since it uses less digits than its factorization.

16101615504312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445598 (or 445591 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 16101615504312 in words is "sixteen trillion, one hundred one billion, six hundred fifteen million, five hundred four thousand, three hundred twelve".