946396028160 has 216 divisors, whose sum is σ = 3572107759584. Its totient is φ = 229429309440.

The previous prime is 946396028153. The next prime is 946396028167. The reversal of 946396028160 is 61820693649.

946396028160 is a `hidden beast` number, since 94 + 6 + 396 + 0 + 2 + 8 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (946396028153) and next prime (946396028167).

It is a junction number, because it is equal to n+sod(n) for n = 946396028097 and 946396028106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946396028167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3607482 + ... + 3860921.

It is an arithmetic number, because the mean of its divisors is an integer number (16537535924).

Almost surely, 2^946396028160 is an apocalyptic number.

946396028160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

946396028160 is an abundant number, since it is smaller than the sum of its proper divisors (2625711731424).

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

946396028160 is a wasteful number, since it uses less digits than its factorization.

946396028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7468441 (or 7468424 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 946396028160 in words is "nine hundred forty-six billion, three hundred ninety-six million, twenty-eight thousand, one hundred sixty".