355247678016 has 896 divisors, whose sum is σ = 1332536832000. Its totient is φ = 90143539200.

The previous prime is 355247677987. The next prime is 355247678039. The reversal of 355247678016 is 610876742553.

355247678016 is a `hidden beast` number, since 3 + 552 + 4 + 7 + 6 + 7 + 80 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1551299790 + ... + 1551300018.

Almost surely, 2^355247678016 is an apocalyptic number.

355247678016 is a gapful number since it is divisible by the number (36) 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 355247678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666268416000).

355247678016 is an abundant number, since it is smaller than the sum of its proper divisors (977289153984).

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

355247678016 is a wasteful number, since it uses less digits than its factorization.

355247678016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 355247678016 in words is "three hundred fifty-five billion, two hundred forty-seven million, six hundred seventy-eight thousand, sixteen".