961428714624 has 2048 divisors, whose sum is σ = 3854131200000. Its totient is φ = 237027409920.

The previous prime is 961428714619. The next prime is 961428714647. The reversal of 961428714624 is 426417824169.

961428714624 is a `hidden beast` number, since 9 + 6 + 1 + 4 + 2 + 8 + 7 + 1 + 4 + 624 = 666.

It is a super-2 number, since 2×961428714624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 31013829489 + ... + 31013829519.

It is an arithmetic number, because the mean of its divisors is an integer number (1881900000).

Almost surely, 2^961428714624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961428714624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927065600000).

961428714624 is an abundant number, since it is smaller than the sum of its proper divisors (2892702485376).

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

961428714624 is an equidigital number, since it uses as much as digits as its factorization.

961428714624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 79 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 961428714624 in words is "nine hundred sixty-one billion, four hundred twenty-eight million, seven hundred fourteen thousand, six hundred twenty-four".