45191688920640 has 672 divisors, whose sum is σ = 162370672464000. Its totient is φ = 11963595718656.

The previous prime is 45191688920549. The next prime is 45191688920641. The reversal of 45191688920640 is 4602988619154.

45191688920640 is a `hidden beast` number, since 4 + 519 + 16 + 8 + 89 + 20 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×45191688920640² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45191688920641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16439317986 + ... + 16439320734.

It is an arithmetic number, because the mean of its divisors is an integer number (241623024500).

Almost surely, 2^{45191688920640} is an apocalyptic number.

45191688920640 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 45191688920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81185336232000).

45191688920640 is an abundant number, since it is smaller than the sum of its proper divisors (117178983543360).

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

45191688920640 is a wasteful number, since it uses less digits than its factorization.

45191688920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 45191688920640 in words is "forty-five trillion, one hundred ninety-one billion, six hundred eighty-eight million, nine hundred twenty thousand, six hundred forty".