46479025152 has 704 divisors, whose sum is σ = 166348718080. Its totient is φ = 12541132800.

The previous prime is 46479025097. The next prime is 46479025171. The reversal of 46479025152 is 25152097464.

46479025152 is a `hidden beast` number, since 4 + 6 + 47 + 90 + 2 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46479025098 and 46479025107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365976513 + ... + 365976639.

Almost surely, 2^46479025152 is an apocalyptic number.

46479025152 is a gapful number since it is divisible by the number (42) 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 46479025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174359040).

46479025152 is an abundant number, since it is smaller than the sum of its proper divisors (119869692928).

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

46479025152 is a wasteful number, since it uses less digits than its factorization.

46479025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 46479025152 in words is "forty-six billion, four hundred seventy-nine million, twenty-five thousand, one hundred fifty-two".