45737219020032 has 144 divisors (see below), whose sum is σ = 136647365863680. Its totient is φ = 15088566878208.

The previous prime is 45737219020007. The next prime is 45737219020033. The reversal of 45737219020032 is 23002091273754.

45737219020032 is a `hidden beast` number, since 4 + 573 + 7 + 21 + 9 + 0 + 20 + 0 + 32 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45737219020032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45737219020033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33438168 + ... + 34779095.

It is an arithmetic number, because the mean of its divisors is an integer number (948940040720).

Almost surely, 2^{45737219020032} is an apocalyptic number.

It is an amenable number.

45737219020032 is an abundant number, since it is smaller than the sum of its proper divisors (90910146843648).

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

45737219020032 is an equidigital number, since it uses as much as digits as its factorization.

45737219020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68217385 (or 68217365 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 45737219020032 in words is "forty-five trillion, seven hundred thirty-seven billion, two hundred nineteen million, twenty thousand, thirty-two".