18425377152 has 640 divisors, whose sum is σ = 68838739200. Its totient is φ = 4762644480.

The previous prime is 18425377133. The next prime is 18425377181. The reversal of 18425377152 is 25177352481.

18425377152 is a `hidden beast` number, since 1 + 8 + 42 + 537 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×18425377152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18425377098 and 18425377107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55665627 + ... + 55665957.

It is an arithmetic number, because the mean of its divisors is an integer number (107560530).

Almost surely, 2^18425377152 is an apocalyptic number.

18425377152 is a gapful number since it is divisible by the number (12) 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 18425377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34419369600).

18425377152 is an abundant number, since it is smaller than the sum of its proper divisors (50413362048).

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

18425377152 is a wasteful number, since it uses less digits than its factorization.

18425377152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 415 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 18425377152 in words is "eighteen billion, four hundred twenty-five million, three hundred seventy-seven thousand, one hundred fifty-two".