45031890048 has 128 divisors (see below), whose sum is σ = 121661030400. Its totient is φ = 14756152320.

The previous prime is 45031890037. The next prime is 45031890061. The reversal of 45031890048 is 84009813054.

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

It is a super-2 number, since 2×45031890048² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45031889991 and 45031890009.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5493633 + ... + 5501823.

It is an arithmetic number, because the mean of its divisors is an integer number (950476800).

Almost surely, 2^45031890048 is an apocalyptic number.

45031890048 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 45031890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60830515200).

45031890048 is an abundant number, since it is smaller than the sum of its proper divisors (76629140352).

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

45031890048 is a wasteful number, since it uses less digits than its factorization.

45031890048 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 45031890048 in words is "forty-five billion, thirty-one million, eight hundred ninety thousand, forty-eight".