45749086322688 has 1440 divisors, whose sum is σ = 169000446384000. Its totient is φ = 12285628121088.

The previous prime is 45749086322677. The next prime is 45749086322689. The reversal of 45749086322688 is 88622368094754.

45749086322688 is a `hidden beast` number, since 4 + 5 + 7 + 490 + 8 + 6 + 32 + 26 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45749086322689) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61906747023 + ... + 61906747761.

It is an arithmetic number, because the mean of its divisors is an integer number (117361421100).

Almost surely, 2^{45749086322688} is an apocalyptic number.

45749086322688 is a gapful number since it is divisible by the number (48) 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 45749086322688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84500223192000).

45749086322688 is an abundant number, since it is smaller than the sum of its proper divisors (123251360061312).

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

45749086322688 is an frugal number, since it uses more digits than its factorization.

45749086322688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 45749086322688 in words is "forty-five trillion, seven hundred forty-nine billion, eighty-six million, three hundred twenty-two thousand, six hundred eighty-eight".