45692004337920 has 1152 divisors, whose sum is σ = 172989214272000. Its totient is φ = 11398496256000.

The previous prime is 45692004337879. The next prime is 45692004337937. The reversal of 45692004337920 is 2973340029654.

45692004337920 is a `hidden beast` number, since 4 + 5 + 6 + 9 + 200 + 43 + 379 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9307800426 + ... + 9307805334.

It is an arithmetic number, because the mean of its divisors is an integer number (150164248500).

Almost surely, 2^{45692004337920} is an apocalyptic number.

45692004337920 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 45692004337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86494607136000).

45692004337920 is an abundant number, since it is smaller than the sum of its proper divisors (127297209934080).

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

45692004337920 is a wasteful number, since it uses less digits than its factorization.

45692004337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 45692004337920 in words is "forty-five trillion, six hundred ninety-two billion, four million, three hundred thirty-seven thousand, nine hundred twenty".