101572374816 has 672 divisors, whose sum is σ = 349825754880. Its totient is φ = 28693440000.

The previous prime is 101572374769. The next prime is 101572374847. The reversal of 101572374816 is 618473275101.

101572374816 is a `hidden beast` number, since 1 + 0 + 1 + 572 + 3 + 74 + 8 + 1 + 6 = 666.

It is a super-3 number, since 3×101572374816³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 404670691 + ... + 404670941.

It is an arithmetic number, because the mean of its divisors is an integer number (520574040).

Almost surely, 2^101572374816 is an apocalyptic number.

101572374816 is a gapful number since it is divisible by the number (16) 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 101572374816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174912877440).

101572374816 is an abundant number, since it is smaller than the sum of its proper divisors (248253380064).

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

101572374816 is a wasteful number, since it uses less digits than its factorization.

101572374816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 101572374816 in words is "one hundred one billion, five hundred seventy-two million, three hundred seventy-four thousand, eight hundred sixteen".