45154619608896 has 672 divisors, whose sum is σ = 164206293888000. Its totient is φ = 12015112900608.

The previous prime is 45154619608817. The next prime is 45154619608921. The reversal of 45154619608896 is 69880691645154.

45154619608896 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 4 + 6 + 1 + 9 + 608 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121851540 + ... + 122221548.

It is an arithmetic number, because the mean of its divisors is an integer number (244354604000).

Almost surely, 2^{45154619608896} 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 45154619608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82103146944000).

45154619608896 is an abundant number, since it is smaller than the sum of its proper divisors (119051674279104).

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

45154619608896 is a wasteful number, since it uses less digits than its factorization.

45154619608896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370121 (or 370099 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 45154619608896 in words is "forty-five trillion, one hundred fifty-four billion, six hundred nineteen million, six hundred eight thousand, eight hundred ninety-six".