354245153552100 has 144 divisors (see below), whose sum is σ = 1198771124084800. Its totient is φ = 89493512463360.

The previous prime is 354245153552063. The next prime is 354245153552111. The reversal of 354245153552100 is 1255351542453.

354245153552100 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 4 + 5 + 1 + 535 + 5 + 2 + 100 = 666.

It is a super-3 number, since 3×354245153552100³ (a number of 45 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3452630509 + ... + 3452733108.

Almost surely, 2^{354245153552100} is an apocalyptic number.

354245153552100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354245153552100 is an abundant number, since it is smaller than the sum of its proper divisors (844525970532700).

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

354245153552100 is a wasteful number, since it uses less digits than its factorization.

354245153552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905363659 (or 6905363646 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 354245153552100 in words is "three hundred fifty-four trillion, two hundred forty-five billion, one hundred fifty-three million, five hundred fifty-two thousand, one hundred".