45426993760512 has 1296 divisors, whose sum is σ = 171987792936960. Its totient is φ = 11259178205184.

The previous prime is 45426993760487. The next prime is 45426993760583. The reversal of 45426993760512 is 21506739962454.

It is a happy number.

45426993760512 is a `hidden beast` number, since 4 + 5 + 4 + 2 + 6 + 9 + 9 + 3 + 7 + 605 + 12 = 666.

It is a super-2 number, since 2×45426993760512² (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 a self number, because there is not a number n which added to its sum of digits gives 45426993760512.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6576946563 + ... + 6576953469.

Almost surely, 2^{45426993760512} is an apocalyptic number.

45426993760512 is a gapful number since it is divisible by the number (42) 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 45426993760512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85993896468480).

45426993760512 is an abundant number, since it is smaller than the sum of its proper divisors (126560799176448).

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

45426993760512 is a wasteful number, since it uses less digits than its factorization.

45426993760512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 45426993760512 in words is "forty-five trillion, four hundred twenty-six billion, nine hundred ninety-three million, seven hundred sixty thousand, five hundred twelve".