45531364001760 has 3456 divisors, whose sum is σ = 214166688422400. Its totient is φ = 9090001170432.

The previous prime is 45531364001737. The next prime is 45531364001797. The reversal of 45531364001760 is 6710046313554.

45531364001760 is a `hidden beast` number, since 4 + 5 + 53 + 136 + 400 + 1 + 7 + 60 = 666.

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 575 ways as a sum of consecutive naturals, for example, 55056062467 + ... + 55056063293.

It is an arithmetic number, because the mean of its divisors is an integer number (61969527900).

Almost surely, 2^{45531364001760} is an apocalyptic number.

45531364001760 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 45531364001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107083344211200).

45531364001760 is an abundant number, since it is smaller than the sum of its proper divisors (168635324420640).

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

45531364001760 is a wasteful number, since it uses less digits than its factorization.

45531364001760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 45531364001760 in words is "forty-five trillion, five hundred thirty-one billion, three hundred sixty-four million, one thousand, seven hundred sixty".