45351902592 has 384 divisors, whose sum is σ = 144353664000. Its totient is φ = 14123704320.

The previous prime is 45351902581. The next prime is 45351902611. The reversal of 45351902592 is 29520915354.

45351902592 is a `hidden beast` number, since 4 + 5 + 3 + 51 + 9 + 0 + 2 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105224617 + ... + 105225047.

It is an arithmetic number, because the mean of its divisors is an integer number (375921000).

Almost surely, 2^45351902592 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 45351902592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72176832000).

45351902592 is an abundant number, since it is smaller than the sum of its proper divisors (99001761408).

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

45351902592 is a wasteful number, since it uses less digits than its factorization.

45351902592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 45351902592 in words is "forty-five billion, three hundred fifty-one million, nine hundred two thousand, five hundred ninety-two".