921599906642496 has 315 divisors, whose sum is σ = 2791584493891347. Its totient is φ = 300630284248320.

The previous prime is 921599906642491. The next prime is 921599906642497. The reversal of 921599906642496 is 694246609995129.

The square root of 921599906642496 is 30357864.

It is a perfect power (a square), and thus also a powerful number.

921599906642496 is a `hidden beast` number, since 9 + 2 + 15 + 9 + 9 + 90 + 6 + 6 + 424 + 96 = 666.

It is a super-2 number, since 2×921599906642496² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (921599906642491) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 102731007291 + ... + 102731016261.

Almost surely, 2^{921599906642496} is an apocalyptic number.

921599906642496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

921599906642496 is the 30357864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 921599906642496

921599906642496 is an abundant number, since it is smaller than the sum of its proper divisors (1869984587248851).

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

921599906642496 is an frugal number, since it uses more digits than its factorization.

921599906642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18060 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 4081466880, while the sum is 81.

921599906642496 divided by its sum of digits (81) gives a square (11377776625216 = 3373096²).

The spelling of 921599906642496 in words is "nine hundred twenty-one trillion, five hundred ninety-nine billion, nine hundred six million, six hundred forty-two thousand, four hundred ninety-six".