45963480024 has 512 divisors, whose sum is σ = 165445632000. Its totient is φ = 11474265600.

The previous prime is 45963480019. The next prime is 45963480047. The reversal of 45963480024 is 42008436954.

45963480024 is a `hidden beast` number, since 4 + 5 + 9 + 634 + 8 + 0 + 0 + 2 + 4 = 666.

45963480024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45963480024² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123226302 + ... + 123226674.

It is an arithmetic number, because the mean of its divisors is an integer number (323136000).

Almost surely, 2^45963480024 is an apocalyptic number.

45963480024 is a gapful number since it is divisible by the number (44) 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 45963480024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82722816000).

45963480024 is an abundant number, since it is smaller than the sum of its proper divisors (119482151976).

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

45963480024 is a wasteful number, since it uses less digits than its factorization.

45963480024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45963480024 in words is "forty-five billion, nine hundred sixty-three million, four hundred eighty thousand, twenty-four".