354642243202800 has 1440 divisors, whose sum is σ = 1536030221107200. Its totient is φ = 76762448686080.

The previous prime is 354642243202771. The next prime is 354642243202823. The reversal of 354642243202800 is 8202342246453.

354642243202800 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 42 + 2 + 4 + 320 + 280 + 0 = 666.

It is a super-2 number, since 2×354642243202800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43423804317 + ... + 43423812483.

Almost surely, 2^{354642243202800} is an apocalyptic number.

354642243202800 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 354642243202800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768015110553600).

354642243202800 is an abundant number, since it is smaller than the sum of its proper divisors (1181387977904400).

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

354642243202800 is a wasteful number, since it uses less digits than its factorization.

354642243202800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11585 (or 11562 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 354642243202800 in words is "three hundred fifty-four trillion, six hundred forty-two billion, two hundred forty-three million, two hundred two thousand, eight hundred".