45514047744 has 252 divisors, whose sum is σ = 148602863472. Its totient is φ = 13791513600.

The previous prime is 45514047737. The next prime is 45514047769. The reversal of 45514047744 is 44774041554.

It is a super-2 number, since 2×45514047744² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45514047744.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2041779 + ... + 2063949.

Almost surely, 2^45514047744 is an apocalyptic number.

45514047744 is a gapful number since it is divisible by the number (44) 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 45514047744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74301431736).

45514047744 is an abundant number, since it is smaller than the sum of its proper divisors (103088815728).

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

45514047744 is an equidigital number, since it uses as much as digits as its factorization.

45514047744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22216 (or 22187 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 45.

The spelling of 45514047744 in words is "forty-five billion, five hundred fourteen million, forty-seven thousand, seven hundred forty-four".