45437611920 has 120 divisors (see below), whose sum is σ = 142816591296. Its totient is φ = 11950377984.

The previous prime is 45437611897. The next prime is 45437611957. The reversal of 45437611920 is 2911673454.

It is a Cunningham number, because it is equal to 213161²-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1261197 + ... + 1296723.

Almost surely, 2^45437611920 is an apocalyptic number.

45437611920 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 45437611920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71408295648).

45437611920 is an abundant number, since it is smaller than the sum of its proper divisors (97378979376).

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

45437611920 is a wasteful number, since it uses less digits than its factorization.

45437611920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35689 (or 35610 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 45437611920 in words is "forty-five billion, four hundred thirty-seven million, six hundred eleven thousand, nine hundred twenty".