45423996464 has 480 divisors, whose sum is σ = 130073817600. Its totient is φ = 15072583680.

The previous prime is 45423996383. The next prime is 45423996469. The reversal of 45423996464 is 46469932454.

45423996464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45423996464² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (45423996469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64067342 + ... + 64068050.

It is an arithmetic number, because the mean of its divisors is an integer number (270987120).

Almost surely, 2^45423996464 is an apocalyptic number.

45423996464 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 45423996464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65036908800).

45423996464 is an abundant number, since it is smaller than the sum of its proper divisors (84649821136).

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

45423996464 is a wasteful number, since it uses less digits than its factorization.

45423996464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 788 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 56.

The spelling of 45423996464 in words is "forty-five billion, four hundred twenty-three million, nine hundred ninety-six thousand, four hundred sixty-four".