961231359577608 has 768 divisors, whose sum is σ = 3326510903040000. Its totient is φ = 249485178249216.

The previous prime is 961231359577589. The next prime is 961231359577609. The reversal of 961231359577608 is 806775953132169.

961231359577608 is a `hidden beast` number, since 9 + 6 + 1 + 2 + 3 + 1 + 3 + 5 + 9 + 5 + 7 + 7 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (961231359577609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41480649510 + ... + 41480672682.

It is an arithmetic number, because the mean of its divisors is an integer number (4331394405000).

Almost surely, 2^{961231359577608} is an apocalyptic number.

961231359577608 is a gapful number since it is divisible by the number (98) 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 961231359577608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663255451520000).

961231359577608 is an abundant number, since it is smaller than the sum of its proper divisors (2365279543462392).

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

961231359577608 is a wasteful number, since it uses less digits than its factorization.

961231359577608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26659 (or 26638 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 961231359577608 in words is "nine hundred sixty-one trillion, two hundred thirty-one billion, three hundred fifty-nine million, five hundred seventy-seven thousand, six hundred eight".