45536256000 has 784 divisors, whose sum is σ = 173192818968. Its totient is φ = 11943936000.

The previous prime is 45536255987. The next prime is 45536256013. The reversal of 45536256000 is 65263554.

It is a happy number.

45536256000 is a `hidden beast` number, since 45 + 5 + 3 + 6 + 2 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45536255987) and next prime (45536256013).

It can be written as a sum of positive squares in 4 ways, for example, as 3251736576 + 42284519424 = 57024^2 + 205632^2 .

It is a super-2 number, since 2×45536256000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 746495970 + ... + 746496030.

Almost surely, 2^45536256000 is an apocalyptic number.

45536256000 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 45536256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86596409484).

45536256000 is an abundant number, since it is smaller than the sum of its proper divisors (127656562968).

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

45536256000 is an frugal number, since it uses more digits than its factorization.

45536256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 45536256000 in words is "forty-five billion, five hundred thirty-six million, two hundred fifty-six thousand".