18402697152 has 1008 divisors, whose sum is σ = 70828692480. Its totient is φ = 4702924800.

The previous prime is 18402697043. The next prime is 18402697177. The reversal of 18402697152 is 25179620481.

18402697152 is a `hidden beast` number, since 1 + 8 + 402 + 6 + 97 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×18402697152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18402697098 and 18402697107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 448846252 + ... + 448846292.

It is an arithmetic number, because the mean of its divisors is an integer number (70266560).

Almost surely, 2^18402697152 is an apocalyptic number.

18402697152 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 18402697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35414346240).

18402697152 is an abundant number, since it is smaller than the sum of its proper divisors (52425995328).

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

18402697152 is a wasteful number, since it uses less digits than its factorization.

18402697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 18402697152 in words is "eighteen billion, four hundred two million, six hundred ninety-seven thousand, one hundred fifty-two".