45097725456 has 480 divisors, whose sum is σ = 158232729600. Its totient is φ = 12238490880.

The previous prime is 45097725437. The next prime is 45097725473. The reversal of 45097725456 is 65452779054.

It is a happy number.

45097725456 is a `hidden beast` number, since 4 + 5 + 0 + 97 + 7 + 2 + 545 + 6 = 666.

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

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, 102728085 + ... + 102728523.

It is an arithmetic number, because the mean of its divisors is an integer number (329651520).

Almost surely, 2^45097725456 is an apocalyptic number.

45097725456 is a gapful number since it is divisible by the number (46) 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 45097725456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79116364800).

45097725456 is an abundant number, since it is smaller than the sum of its proper divisors (113135004144).

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

45097725456 is a wasteful number, since it uses less digits than its factorization.

45097725456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 45097725456 in words is "forty-five billion, ninety-seven million, seven hundred twenty-five thousand, four hundred fifty-six".