354524086016100 has 6075 divisors, whose sum is σ = 1680570571745835. Its totient is φ = 64421643686400.

The previous prime is 354524086016039. The next prime is 354524086016117. The reversal of 354524086016100 is 1610680425453.

The square root of 354524086016100 is 18828810.

It is a perfect power (a square), and thus also a powerful number.

354524086016100 is a `hidden beast` number, since 3 + 5 + 4 + 5 + 24 + 0 + 8 + 6 + 0 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91379107614564 + 263144978401536 = 9559242^2 + 16221744^2 .

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

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 2024 ways as a sum of consecutive naturals, for example, 18659162421891 + ... + 18659162421909.

Almost surely, 2^{354524086016100} is an apocalyptic number.

354524086016100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

354524086016100 is the 18828810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354524086016100

354524086016100 is an abundant number, since it is smaller than the sum of its proper divisors (1326046485729735).

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

354524086016100 is a wasteful number, since it uses less digits than its factorization.

354524086016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 354524086016100 in words is "three hundred fifty-four trillion, five hundred twenty-four billion, eighty-six million, sixteen thousand, one hundred".