45674496000 has 1024 divisors, whose sum is σ = 196290432000. Its totient is φ = 10262937600.

The previous prime is 45674495963. The next prime is 45674496013. The reversal of 45674496000 is 69447654.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 774143971 + ... + 774144029.

It is an arithmetic number, because the mean of its divisors is an integer number (191689875).

Almost surely, 2^45674496000 is an apocalyptic number.

45674496000 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 45674496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98145216000).

45674496000 is an abundant number, since it is smaller than the sum of its proper divisors (150615936000).

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

45674496000 is an frugal number, since it uses more digits than its factorization.

45674496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 45674496000 in words is "forty-five billion, six hundred seventy-four million, four hundred ninety-six thousand".