358114249920 has 504 divisors, whose sum is σ = 1351168152624. Its totient is φ = 80098357248.

The previous prime is 358114249901. The next prime is 358114249957. The reversal of 358114249920 is 29942411853.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 358114249920.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 944892291 + ... + 944892669.

Almost surely, 2^358114249920 is an apocalyptic number.

358114249920 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 358114249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675584076312).

358114249920 is an abundant number, since it is smaller than the sum of its proper divisors (993053902704).

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

358114249920 is an equidigital number, since it uses as much as digits as its factorization.

358114249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 358114249920 in words is "three hundred fifty-eight billion, one hundred fourteen million, two hundred forty-nine thousand, nine hundred twenty".