45745237920 has 96 divisors (see below), whose sum is σ = 144200915712. Its totient is φ = 12189975552.

The previous prime is 45745237903. The next prime is 45745237931. The reversal of 45745237920 is 2973254754.

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 self number, because there is not a number n which added to its sum of digits gives 45745237920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649554 + ... + 716526.

It is an arithmetic number, because the mean of its divisors is an integer number (1502092872).

Almost surely, 2^45745237920 is an apocalyptic number.

45745237920 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 45745237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72100457856).

45745237920 is an abundant number, since it is smaller than the sum of its proper divisors (98455677792).

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

45745237920 is a wasteful number, since it uses less digits than its factorization.

45745237920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68414 (or 68406 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 45745237920 in words is "forty-five billion, seven hundred forty-five million, two hundred thirty-seven thousand, nine hundred twenty".