45107631744 has 128 divisors (see below), whose sum is σ = 137002646400. Its totient is φ = 12881424384.

The previous prime is 45107631727. The next prime is 45107631749. The reversal of 45107631744 is 44713670154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 45107631696 and 45107631705.

It is not an unprimeable number, because it can be changed into a prime (45107631749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8676954 + ... + 8682150.

It is an arithmetic number, because the mean of its divisors is an integer number (1070333175).

Almost surely, 2^45107631744 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 45107631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68501323200).

45107631744 is an abundant number, since it is smaller than the sum of its proper divisors (91895014656).

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

45107631744 is a wasteful number, since it uses less digits than its factorization.

45107631744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 45107631744 in words is "forty-five billion, one hundred seven million, six hundred thirty-one thousand, seven hundred forty-four".