45810902592 has 448 divisors, whose sum is σ = 175515056640. Its totient is φ = 11370627072.

The previous prime is 45810902587. The next prime is 45810902693. The reversal of 45810902592 is 29520901854.

It is a happy number.

45810902592 is a `hidden beast` number, since 4 + 58 + 1 + 0 + 9 + 0 + 2 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2664648 + ... + 2681784.

It is an arithmetic number, because the mean of its divisors is an integer number (391774680).

Almost surely, 2^45810902592 is an apocalyptic number.

45810902592 is a gapful number since it is divisible by the number (42) 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 45810902592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87757528320).

45810902592 is an abundant number, since it is smaller than the sum of its proper divisors (129704154048).

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

45810902592 is a wasteful number, since it uses less digits than its factorization.

45810902592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17195 (or 17179 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 45810902592 in words is "forty-five billion, eight hundred ten million, nine hundred two thousand, five hundred ninety-two".