45236259855360 has 1760 divisors, whose sum is σ = 198600688710720. Its totient is φ = 9730284060672.

The previous prime is 45236259855331. The next prime is 45236259855389. The reversal of 45236259855360 is 6355895263254.

45236259855360 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 6 + 2 + 5 + 98 + 5 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45236259855331) and next prime (45236259855389).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5642538072 + ... + 5642546088.

Almost surely, 2^{45236259855360} is an apocalyptic number.

45236259855360 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 45236259855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99300344355360).

45236259855360 is an abundant number, since it is smaller than the sum of its proper divisors (153364428855360).

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

45236259855360 is an equidigital number, since it uses as much as digits as its factorization.

45236259855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8096 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 63.

The spelling of 45236259855360 in words is "forty-five trillion, two hundred thirty-six billion, two hundred fifty-nine million, eight hundred fifty-five thousand, three hundred sixty".