32961157449696 has 768 divisors, whose sum is σ = 118085007237120. Its totient is φ = 8730695393280.

The previous prime is 32961157449683. The next prime is 32961157449721. The reversal of 32961157449696 is 69694475116923.

32961157449696 is a `hidden beast` number, since 3 + 2 + 9 + 6 + 1 + 1 + 574 + 49 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 2961198051 + ... + 2961209181.

It is an arithmetic number, because the mean of its divisors is an integer number (153756519840).

Almost surely, 2^{32961157449696} is an apocalyptic number.

32961157449696 is a gapful number since it is divisible by the number (36) 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 32961157449696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59042503618560).

32961157449696 is an abundant number, since it is smaller than the sum of its proper divisors (85123849787424).

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

32961157449696 is a wasteful number, since it uses less digits than its factorization.

32961157449696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11604 (or 11590 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 32961157449696 in words is "thirty-two trillion, nine hundred sixty-one billion, one hundred fifty-seven million, four hundred forty-nine thousand, six hundred ninety-six".