356157943908480 has 1152 divisors, whose sum is σ = 1439371663020720. Its totient is φ = 80912589520896.

The previous prime is 356157943908467. The next prime is 356157943908491. The reversal of 356157943908480 is 84809349751653.

356157943908480 is a `hidden beast` number, since 3 + 5 + 6 + 1 + 57 + 9 + 4 + 3 + 90 + 8 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 173972090263104 + 182185853645376 = 13189848^2 + 13497624^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 356157943908399 and 356157943908408.

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 143 ways as a sum of consecutive naturals, for example, 38996813994 + ... + 38996823126.

Almost surely, 2^{356157943908480} is an apocalyptic number.

356157943908480 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 356157943908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719685831510360).

356157943908480 is an abundant number, since it is smaller than the sum of its proper divisors (1083213719112240).

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

356157943908480 is a wasteful number, since it uses less digits than its factorization.

356157943908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998 (or 9976 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 356157943908480 in words is "three hundred fifty-six trillion, one hundred fifty-seven billion, nine hundred forty-three million, nine hundred eight thousand, four hundred eighty".