101914535467728 has 60 divisors (see below), whose sum is σ = 285611475091488. Its totient is φ = 33924783435840.

The previous prime is 101914535467697. The next prime is 101914535467751. The reversal of 101914535467728 is 827764535419101.

101914535467728 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 1 + 4 + 535 + 4 + 6 + 77 + 28 = 666.

101914535467728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486648978 + ... + 486858353.

It is a 1-persistent number, because it is pandigital, but 2⋅101914535467728 = 203829070935456 is not.

Almost surely, 2^{101914535467728} is an apocalyptic number.

101914535467728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101914535467728 is an abundant number, since it is smaller than the sum of its proper divisors (183696939623760).

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

101914535467728 is a wasteful number, since it uses less digits than its factorization.

101914535467728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973508072 (or 973508063 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 101914535467728 in words is "one hundred one trillion, nine hundred fourteen billion, five hundred thirty-five million, four hundred sixty-seven thousand, seven hundred twenty-eight".