101598640416 has 768 divisors, whose sum is σ = 400735641600. Its totient is φ = 24273063936.

The previous prime is 101598640369. The next prime is 101598640441. The reversal of 101598640416 is 614046895101.

101598640416 is a `hidden beast` number, since 1 + 0 + 1 + 598 + 6 + 40 + 4 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34357210 + ... + 34360166.

It is an arithmetic number, because the mean of its divisors is an integer number (521791200).

Almost surely, 2^101598640416 is an apocalyptic number.

101598640416 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 101598640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200367820800).

101598640416 is an abundant number, since it is smaller than the sum of its proper divisors (299137001184).

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

101598640416 is a wasteful number, since it uses less digits than its factorization.

101598640416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 101598640416 in words is "one hundred one billion, five hundred ninety-eight million, six hundred forty thousand, four hundred sixteen".