356047967930368 has 384 divisors, whose sum is σ = 826762259232000. Its totient is φ = 150152920694784.

The previous prime is 356047967930359. The next prime is 356047967930377. The reversal of 356047967930368 is 863039769740653.

It is an interprime number because it is at equal distance from previous prime (356047967930359) and next prime (356047967930377).

It is a junction number, because it is equal to n+sod(n) for n = 356047967930294 and 356047967930303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143741608746 + ... + 143741611222.

It is an arithmetic number, because the mean of its divisors is an integer number (2153026716750).

Almost surely, 2^{356047967930368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356047967930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413381129616000).

356047967930368 is an abundant number, since it is smaller than the sum of its proper divisors (470714291301632).

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

356047967930368 is a wasteful number, since it uses less digits than its factorization.

356047967930368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 76.

The spelling of 356047967930368 in words is "three hundred fifty-six trillion, forty-seven billion, nine hundred sixty-seven million, nine hundred thirty thousand, three hundred sixty-eight".