45702461376 has 1008 divisors, whose sum is σ = 171197076960. Its totient is φ = 11472814080.

The previous prime is 45702461359. The next prime is 45702461407. The reversal of 45702461376 is 67316420754.

45702461376 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 24 + 613 + 7 + 6 = 666.

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, 862310566 + ... + 862310618.

It is an arithmetic number, because the mean of its divisors is an integer number (169838370).

Almost surely, 2^45702461376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45702461376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85598538480).

45702461376 is an abundant number, since it is smaller than the sum of its proper divisors (125494615584).

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

45702461376 is a wasteful number, since it uses less digits than its factorization.

45702461376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

It can be divided in two parts, 457024 and 61376, that added together give a square (518400 = 720²).

The spelling of 45702461376 in words is "forty-five billion, seven hundred two million, four hundred sixty-one thousand, three hundred seventy-six".