45713547264 has 896 divisors, whose sum is σ = 169858944000. Its totient is φ = 10789847040.

The previous prime is 45713547223. The next prime is 45713547277. The reversal of 45713547264 is 46274531754.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1576329202 + ... + 1576329230.

Almost surely, 2^45713547264 is an apocalyptic number.

45713547264 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 45713547264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84929472000).

45713547264 is an abundant number, since it is smaller than the sum of its proper divisors (124145396736).

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

45713547264 is a wasteful number, since it uses less digits than its factorization.

45713547264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The spelling of 45713547264 in words is "forty-five billion, seven hundred thirteen million, five hundred forty-seven thousand, two hundred sixty-four".