45626694480 has 240 divisors, whose sum is σ = 155850274944. Its totient is φ = 11959833600.

The previous prime is 45626694461. The next prime is 45626694499. The reversal of 45626694480 is 8449662654.

45626694480 is a `hidden beast` number, since 4 + 5 + 626 + 6 + 9 + 4 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45626694461) and next prime (45626694499).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35069830 + ... + 35071130.

Almost surely, 2^45626694480 is an apocalyptic number.

45626694480 is a gapful number since it is divisible by the number (40) 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 45626694480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77925137472).

45626694480 is an abundant number, since it is smaller than the sum of its proper divisors (110223580464).

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

45626694480 is a wasteful number, since it uses less digits than its factorization.

45626694480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 45626694480 in words is "forty-five billion, six hundred twenty-six million, six hundred ninety-four thousand, four hundred eighty".