45746267897568 has 576 divisors, whose sum is σ = 143843704962048. Its totient is φ = 12685211320320.

The previous prime is 45746267897549. The next prime is 45746267897591. The reversal of 45746267897568 is 86579876264754.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41701246396 + ... + 41701247492.

It is an arithmetic number, because the mean of its divisors is an integer number (249728654448).

Almost surely, 2^{45746267897568} is an apocalyptic number.

45746267897568 is a gapful number since it is divisible by the number (48) 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 45746267897568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71921852481024).

45746267897568 is an abundant number, since it is smaller than the sum of its proper divisors (98097437064480).

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

45746267897568 is a wasteful number, since it uses less digits than its factorization.

45746267897568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2080 counting only the distinct ones).

The product of its digits is 34139750400, while the sum is 84.

The spelling of 45746267897568 in words is "forty-five trillion, seven hundred forty-six billion, two hundred sixty-seven million, eight hundred ninety-seven thousand, five hundred sixty-eight".