45401311746 has 96 divisors (see below), whose sum is σ = 116380368000. Its totient is φ = 12515731200.

The previous prime is 45401311741. The next prime is 45401311751. The reversal of 45401311746 is 64711310454.

45401311746 is a `hidden beast` number, since 454 + 0 + 1 + 31 + 174 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (45401311741) and next prime (45401311751).

It is a super-2 number, since 2×45401311746² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45401311746.

It is not an unprimeable number, because it can be changed into a prime (45401311741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6577405 + ... + 6584303.

It is an arithmetic number, because the mean of its divisors is an integer number (1212295500).

Almost surely, 2^45401311746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45401311746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58190184000).

45401311746 is an abundant number, since it is smaller than the sum of its proper divisors (70979056254).

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

45401311746 is a wasteful number, since it uses less digits than its factorization.

45401311746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 45401311746 in words is "forty-five billion, four hundred one million, three hundred eleven thousand, seven hundred forty-six".