18125957369856 has 624 divisors, whose sum is σ = 57730271272128. Its totient is φ = 5040399974400.

The previous prime is 18125957369813. The next prime is 18125957369879. The reversal of 18125957369856 is 65896375952181.

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, 16614075871 + ... + 16614076961.

It is an arithmetic number, because the mean of its divisors is an integer number (92516460372).

Almost surely, 2^{18125957369856} is an apocalyptic number.

18125957369856 is a gapful number since it is divisible by the number (16) 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 18125957369856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28865135636064).

18125957369856 is an abundant number, since it is smaller than the sum of its proper divisors (39604313902272).

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

18125957369856 is a wasteful number, since it uses less digits than its factorization.

18125957369856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1817 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 75.

The spelling of 18125957369856 in words is "eighteen trillion, one hundred twenty-five billion, nine hundred fifty-seven million, three hundred sixty-nine thousand, eight hundred fifty-six".