961372406016 has 405 divisors, whose sum is σ = 3156031880463. Its totient is φ = 290854333440.

The previous prime is 961372406011. The next prime is 961372406039. The reversal of 961372406016 is 610604273169.

The square root of 961372406016 is 980496.

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

961372406016 is a `hidden beast` number, since 9 + 6 + 1 + 37 + 2 + 4 + 0 + 601 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (961372406011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1553105355 + ... + 1553105973.

Almost surely, 2^961372406016 is an apocalyptic number.

961372406016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

961372406016 is the 980496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961372406016

961372406016 is an abundant number, since it is smaller than the sum of its proper divisors (2194659474447).

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

961372406016 is an frugal number, since it uses more digits than its factorization.

961372406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 961372406016 in words is "nine hundred sixty-one billion, three hundred seventy-two million, four hundred six thousand, sixteen".