45172948320 has 240 divisors, whose sum is σ = 162817034688. Its totient is φ = 11789660160.

The previous prime is 45172948291. The next prime is 45172948321. The reversal of 45172948320 is 2384927154.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45172948321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572040 + ... + 646200.

Almost surely, 2^45172948320 is an apocalyptic number.

45172948320 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 45172948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81408517344).

45172948320 is an abundant number, since it is smaller than the sum of its proper divisors (117644086368).

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

45172948320 is a wasteful number, since it uses less digits than its factorization.

45172948320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74235 (or 74218 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45172948320 in words is "forty-five billion, one hundred seventy-two million, nine hundred forty-eight thousand, three hundred twenty".