45732757549536 has 288 divisors, whose sum is σ = 139752774120960. Its totient is φ = 14701248866304.

The previous prime is 45732757549513. The next prime is 45732757549543. The reversal of 45732757549536 is 63594575723754.

45732757549536 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 2 + 7 + 575 + 49 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45732757549536² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25549416 + ... + 27280728.

It is an arithmetic number, because the mean of its divisors is an integer number (485252687920).

Almost surely, 2^{45732757549536} 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 45732757549536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69876387060480).

45732757549536 is an abundant number, since it is smaller than the sum of its proper divisors (94020016571424).

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

45732757549536 is a wasteful number, since it uses less digits than its factorization.

45732757549536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731460 (or 1731440 counting only the distinct ones).

The product of its digits is 3333960000, while the sum is 72.

The spelling of 45732757549536 in words is "forty-five trillion, seven hundred thirty-two billion, seven hundred fifty-seven million, five hundred forty-nine thousand, five hundred thirty-six".