45014774880 has 96 divisors (see below), whose sum is σ = 141958462464. Its totient is φ = 11990232576.

The previous prime is 45014774873. The next prime is 45014774891. The reversal of 45014774880 is 8847741054.

45014774880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370737 + ... + 476943.

It is an arithmetic number, because the mean of its divisors is an integer number (1478733984).

Almost surely, 2^45014774880 is an apocalyptic number.

45014774880 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 45014774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70979231232).

45014774880 is an abundant number, since it is smaller than the sum of its proper divisors (96943687584).

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

45014774880 is a wasteful number, since it uses less digits than its factorization.

45014774880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107108 (or 107100 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 45014774880 in words is "forty-five billion, fourteen million, seven hundred seventy-four thousand, eight hundred eighty".