356112939489480 has 1280 divisors, whose sum is σ = 1368238417920000. Its totient is φ = 82635561953280.

The previous prime is 356112939489479. The next prime is 356112939489521. The reversal of 356112939489480 is 84984939211653.

356112939489480 is a `hidden beast` number, since 3 + 5 + 6 + 1 + 12 + 93 + 9 + 48 + 9 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 356112939489399 and 356112939489408.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3265149429 + ... + 3265258491.

It is an arithmetic number, because the mean of its divisors is an integer number (1068936264000).

Almost surely, 2^{356112939489480} is an apocalyptic number.

356112939489480 is a gapful number since it is divisible by the number (30) 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 356112939489480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684119208960000).

356112939489480 is an abundant number, since it is smaller than the sum of its proper divisors (1012125478430520).

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

356112939489480 is a wasteful number, since it uses less digits than its factorization.

356112939489480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109224 (or 109211 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 356112939489480 in words is "three hundred fifty-six trillion, one hundred twelve billion, nine hundred thirty-nine million, four hundred eighty-nine thousand, four hundred eighty".