354339491654400 has 864 divisors, whose sum is σ = 1387825328160768. Its totient is φ = 77909752627200.

The previous prime is 354339491654399. The next prime is 354339491654437. The reversal of 354339491654400 is 4456194933453.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 695534169 + ... + 696043431.

Almost surely, 2^{354339491654400} is an apocalyptic number.

354339491654400 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 354339491654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693912664080384).

354339491654400 is an abundant number, since it is smaller than the sum of its proper divisors (1033485836506368).

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

354339491654400 is a wasteful number, since it uses less digits than its factorization.

354339491654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509497 (or 509478 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 60.

The spelling of 354339491654400 in words is "three hundred fifty-four trillion, three hundred thirty-nine billion, four hundred ninety-one million, six hundred fifty-four thousand, four hundred".