45898936079040 has 3360 divisors, whose sum is σ = 199294136173440. Its totient is φ = 9981626941440.

The previous prime is 45898936078999. The next prime is 45898936079041. The reversal of 45898936079040 is 4097063989854.

45898936079040 is a `hidden beast` number, since 4 + 5 + 8 + 9 + 8 + 9 + 3 + 607 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 45898936079040.

It is not an unprimeable number, because it can be changed into a prime (45898936079041) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 77401240984 + ... + 77401241576.

It is an arithmetic number, because the mean of its divisors is an integer number (59313731004).

Almost surely, 2^{45898936079040} is an apocalyptic number.

45898936079040 is a gapful number since it is divisible by the number (40) 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 45898936079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99647068086720).

45898936079040 is an abundant number, since it is smaller than the sum of its proper divisors (153395200094400).

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

45898936079040 is a wasteful number, since it uses less digits than its factorization.

45898936079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 45898936079040 in words is "forty-five trillion, eight hundred ninety-eight billion, nine hundred thirty-six million, seventy-nine thousand, forty".