45536237429760 has 1056 divisors, whose sum is σ = 196918361662464. Its totient is φ = 9452298240000.

The previous prime is 45536237429729. The next prime is 45536237429773. The reversal of 45536237429760 is 6792473263554.

45536237429760 is a `hidden beast` number, since 4 + 5 + 53 + 6 + 237 + 4 + 297 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×45536237429760² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3729110055 + ... + 3729122265.

Almost surely, 2^{45536237429760} is an apocalyptic number.

45536237429760 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 45536237429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98459180831232).

45536237429760 is an abundant number, since it is smaller than the sum of its proper divisors (151382124232704).

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

45536237429760 is a wasteful number, since it uses less digits than its factorization.

45536237429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13311 (or 13290 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 63.

The spelling of 45536237429760 in words is "forty-five trillion, five hundred thirty-six billion, two hundred thirty-seven million, four hundred twenty-nine thousand, seven hundred sixty".