45152870400 has 1008 divisors, whose sum is σ = 188246174688. Its totient is φ = 10223616000.

The previous prime is 45152870393. The next prime is 45152870419. The reversal of 45152870400 is 407825154.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344678335 + ... + 344678465.

Almost surely, 2^45152870400 is an apocalyptic number.

45152870400 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 45152870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94123087344).

45152870400 is an abundant number, since it is smaller than the sum of its proper divisors (143093304288).

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

45152870400 is a wasteful number, since it uses less digits than its factorization.

45152870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 45152870400 in words is "forty-five billion, one hundred fifty-two million, eight hundred seventy thousand, four hundred".