45098113536 has 720 divisors, whose sum is σ = 165920451840. Its totient is φ = 11705057280.

The previous prime is 45098113531. The next prime is 45098113583. The reversal of 45098113536 is 63531189054.

45098113536 is a `hidden beast` number, since 4 + 509 + 8 + 1 + 135 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45098113491 and 45098113500.

It is not an unprimeable number, because it can be changed into a prime (45098113531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118992195 + ... + 118992573.

It is an arithmetic number, because the mean of its divisors is an integer number (230445072).

Almost surely, 2^45098113536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45098113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82960225920).

45098113536 is an abundant number, since it is smaller than the sum of its proper divisors (120822338304).

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

45098113536 is a wasteful number, since it uses less digits than its factorization.

45098113536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 45098113536 in words is "forty-five billion, ninety-eight million, one hundred thirteen thousand, five hundred thirty-six".