45919963833744 has 960 divisors, whose sum is σ = 171402279552000. Its totient is φ = 10384441159680.

The previous prime is 45919963833727. The next prime is 45919963833761. The reversal of 45919963833744 is 44733836991954.

It is an interprime number because it is at equal distance from previous prime (45919963833727) and next prime (45919963833761).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1463382247 + ... + 1463413625.

It is an arithmetic number, because the mean of its divisors is an integer number (178544041200).

Almost surely, 2^{45919963833744} is an apocalyptic number.

45919963833744 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 45919963833744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85701139776000).

45919963833744 is an abundant number, since it is smaller than the sum of its proper divisors (125482315718256).

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

45919963833744 is a wasteful number, since it uses less digits than its factorization.

45919963833744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31676 (or 31663 counting only the distinct ones).

The product of its digits is 2116316160, while the sum is 75.

The spelling of 45919963833744 in words is "forty-five trillion, nine hundred nineteen billion, nine hundred sixty-three million, eight hundred thirty-three thousand, seven hundred forty-four".