18957625848576 has 1152 divisors, whose sum is σ = 64625197056000. Its totient is φ = 5449122201600.

The previous prime is 18957625848571. The next prime is 18957625848647. The reversal of 18957625848576 is 67584852675981.

18957625848576 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 7 + 62 + 5 + 8 + 485 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 18957625848495 and 18957625848504.

It is not an unprimeable number, because it can be changed into a prime (18957625848571) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5711847045 + ... + 5711850363.

Almost surely, 2^{18957625848576} is an apocalyptic number.

18957625848576 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 18957625848576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32312598528000).

18957625848576 is an abundant number, since it is smaller than the sum of its proper divisors (45667571207424).

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

18957625848576 is a wasteful number, since it uses less digits than its factorization.

18957625848576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3458 counting only the distinct ones).

The product of its digits is 8128512000, while the sum is 81.

The spelling of 18957625848576 in words is "eighteen trillion, nine hundred fifty-seven billion, six hundred twenty-five million, eight hundred forty-eight thousand, five hundred seventy-six".