354013665868800 has 4752 divisors, whose sum is σ = 1650865725643680. Its totient is φ = 74662658703360.

The previous prime is 354013665868787. The next prime is 354013665868843. The reversal of 354013665868800 is 8868566310453.

354013665868800 is a `hidden beast` number, since 3 + 5 + 40 + 1 + 3 + 6 + 6 + 586 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 274642098556 + ... + 274642099844.

Almost surely, 2^{354013665868800} is an apocalyptic number.

354013665868800 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 354013665868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825432862821840).

354013665868800 is an abundant number, since it is smaller than the sum of its proper divisors (1296852059774880).

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

354013665868800 is a wasteful number, since it uses less digits than its factorization.

354013665868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 354013665868800 in words is "three hundred fifty-four trillion, thirteen billion, six hundred sixty-five million, eight hundred sixty-eight thousand, eight hundred".