45902890320 has 240 divisors, whose sum is σ = 172729480320. Its totient is φ = 10035852288.

The previous prime is 45902890199. The next prime is 45902890361. The reversal of 45902890320 is 2309820954.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185626 + ... + 355334.

It is an arithmetic number, because the mean of its divisors is an integer number (719706168).

Almost surely, 2^45902890320 is an apocalyptic number.

45902890320 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 45902890320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86364740160).

45902890320 is an abundant number, since it is smaller than the sum of its proper divisors (126826590000).

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

45902890320 is a wasteful number, since it uses less digits than its factorization.

45902890320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169762 (or 169749 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 45902890320 in words is "forty-five billion, nine hundred two million, eight hundred ninety thousand, three hundred twenty".