18457025456100 has 216 divisors, whose sum is σ = 67768445229408. Its totient is φ = 3835226035200.

The previous prime is 18457025456071. The next prime is 18457025456101. The reversal of 18457025456100 is 165452075481.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 18457025456100.

It is not an unprimeable number, because it can be changed into a prime (18457025456101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56910117 + ... + 57233516.

It is an arithmetic number, because the mean of its divisors is an integer number (313742801988).

Almost surely, 2^{18457025456100} is an apocalyptic number.

18457025456100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18457025456100 is an abundant number, since it is smaller than the sum of its proper divisors (49311419773308).

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

18457025456100 is a wasteful number, since it uses less digits than its factorization.

18457025456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114143675 (or 114143661 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 18457025456100 in words is "eighteen trillion, four hundred fifty-seven billion, twenty-five million, four hundred fifty-six thousand, one hundred".