99961946721 has 256 divisors, whose sum is σ = 198777600000. Its totient is φ = 49625581824.

The previous prime is 99961946717. The next prime is 99961946723. The reversal of 99961946721 is 12764916999.

The cubic root of 99961946721 is 4641.

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

99961946721 is a `hidden beast` number, since 9 + 9 + 9 + 619 + 4 + 6 + 7 + 2 + 1 = 666.

It is not a de Polignac number, because 99961946721 - 2² = 99961946717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99961946723) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5880114505 + ... + 5880114521.

It is an arithmetic number, because the mean of its divisors is an integer number (776475000).

Almost surely, 2^99961946721 is an apocalyptic number.

99961946721 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

99961946721 is a deficient number, since it is larger than the sum of its proper divisors (98815653279).

99961946721 is an frugal number, since it uses more digits than its factorization.

99961946721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 40 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 63.

The spelling of 99961946721 in words is "ninety-nine billion, nine hundred sixty-one million, nine hundred forty-six thousand, seven hundred twenty-one".