45947124300 has 864 divisors, whose sum is σ = 182050570240. Its totient is φ = 8724672000.

The previous prime is 45947124299. The next prime is 45947124337. The reversal of 45947124300 is 342174954.

45947124300 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 2×45947124300² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 149664747 + ... + 149665053.

Almost surely, 2^45947124300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45947124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91025285120).

45947124300 is an abundant number, since it is smaller than the sum of its proper divisors (136103445940).

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

45947124300 is a wasteful number, since it uses less digits than its factorization.

45947124300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 45947124300 in words is "forty-five billion, nine hundred forty-seven million, one hundred twenty-four thousand, three hundred".