45917539200 has 480 divisors, whose sum is σ = 182493501960. Its totient is φ = 11301949440.

The previous prime is 45917539141. The next prime is 45917539237. The reversal of 45917539200 is 293571954.

It is a happy number.

45917539200 is a `hidden beast` number, since 4 + 5 + 91 + 7 + 539 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3362787 + ... + 3376413.

Almost surely, 2^45917539200 is an apocalyptic number.

45917539200 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 45917539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91246750980).

45917539200 is an abundant number, since it is smaller than the sum of its proper divisors (136575962760).

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

45917539200 is a wasteful number, since it uses less digits than its factorization.

45917539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13676 (or 13650 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 45917539200 in words is "forty-five billion, nine hundred seventeen million, five hundred thirty-nine thousand, two hundred".