949326356160 has 672 divisors, whose sum is σ = 4112324536320. Its totient is φ = 195637026816.

The previous prime is 949326356141. The next prime is 949326356189. The reversal of 949326356160 is 61653623949.

949326356160 is a `hidden beast` number, since 9 + 49 + 32 + 6 + 3 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 949326356097 and 949326356106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11227321 + ... + 11311559.

It is an arithmetic number, because the mean of its divisors is an integer number (6119530560).

Almost surely, 2^949326356160 is an apocalyptic number.

949326356160 is a gapful number since it is divisible by the number (90) 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 949326356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056162268160).

949326356160 is an abundant number, since it is smaller than the sum of its proper divisors (3162998180160).

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

949326356160 is a wasteful number, since it uses less digits than its factorization.

949326356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84325 (or 84312 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 949326356160 in words is "nine hundred forty-nine billion, three hundred twenty-six million, three hundred fifty-six thousand, one hundred sixty".