45602481792 has 128 divisors (see below), whose sum is σ = 138516848640. Its totient is φ = 13021682688.

The previous prime is 45602481779. The next prime is 45602481797. The reversal of 45602481792 is 29718420654.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45602481797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5928573 + ... + 5936259.

It is an arithmetic number, because the mean of its divisors is an integer number (1082162880).

Almost surely, 2^45602481792 is an apocalyptic number.

45602481792 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 45602481792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69258424320).

45602481792 is an abundant number, since it is smaller than the sum of its proper divisors (92914366848).

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

45602481792 is a wasteful number, since it uses less digits than its factorization.

45602481792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918 (or 9906 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 45602481792 in words is "forty-five billion, six hundred two million, four hundred eighty-one thousand, seven hundred ninety-two".