354636159360 has 384 divisors, whose sum is σ = 1328548767840. Its totient is φ = 80221962240.

The previous prime is 354636159341. The next prime is 354636159389. The reversal of 354636159360 is 63951636453.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×354636159360² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9106330 + ... + 9145190.

Almost surely, 2^354636159360 is an apocalyptic number.

354636159360 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 354636159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664274383920).

354636159360 is an abundant number, since it is smaller than the sum of its proper divisors (973912608480).

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

354636159360 is a wasteful number, since it uses less digits than its factorization.

354636159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38994 (or 38975 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 51.

The spelling of 354636159360 in words is "three hundred fifty-four billion, six hundred thirty-six million, one hundred fifty-nine thousand, three hundred sixty".