45398126592 has 624 divisors, whose sum is σ = 166923406080. Its totient is φ = 11938627584.

The previous prime is 45398126581. The next prime is 45398126597. The reversal of 45398126592 is 29562189354.

45398126592 is a `hidden beast` number, since 4 + 5 + 39 + 8 + 12 + 6 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45398126597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130830163 + ... + 130830509.

Almost surely, 2^45398126592 is an apocalyptic number.

45398126592 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 45398126592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83461703040).

45398126592 is an abundant number, since it is smaller than the sum of its proper divisors (121525279488).

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

45398126592 is a wasteful number, since it uses less digits than its factorization.

45398126592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 372 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 45398126592 in words is "forty-five billion, three hundred ninety-eight million, one hundred twenty-six thousand, five hundred ninety-two".