45264493920 has 48 divisors (see below), whose sum is σ = 142583157360. Its totient is φ = 12070531584.

The previous prime is 45264493843. The next prime is 45264493921. The reversal of 45264493920 is 2939446254.

45264493920 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 (48).

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 45264493920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45264493921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47150035 + ... + 47150994.

It is an arithmetic number, because the mean of its divisors is an integer number (2970482445).

Almost surely, 2^45264493920 is an apocalyptic number.

45264493920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45264493920 is an abundant number, since it is smaller than the sum of its proper divisors (97318663440).

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

45264493920 is a wasteful number, since it uses less digits than its factorization.

45264493920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94301047 (or 94301039 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 45264493920 in words is "forty-five billion, two hundred sixty-four million, four hundred ninety-three thousand, nine hundred twenty".