45203631840 has 144 divisors (see below), whose sum is σ = 154313359200. Its totient is φ = 12049929216.

The previous prime is 45203631833. The next prime is 45203631859. The reversal of 45203631840 is 4813630254.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45203631795 and 45203631804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6734406 + ... + 6741114.

It is an arithmetic number, because the mean of its divisors is an integer number (1071620550).

Almost surely, 2^45203631840 is an apocalyptic number.

45203631840 is a gapful number since it is divisible by the number (40) 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 45203631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77156679600).

45203631840 is an abundant number, since it is smaller than the sum of its proper divisors (109109727360).

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

45203631840 is a wasteful number, since it uses less digits than its factorization.

45203631840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 45203631840 in words is "forty-five billion, two hundred three million, six hundred thirty-one thousand, eight hundred forty".