45426507160 has 128 divisors (see below), whose sum is σ = 111258230400. Its totient is φ = 16628613120.

The previous prime is 45426507151. The next prime is 45426507173. The reversal of 45426507160 is 6170562454.

It is a happy number.

45426507160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3517996 + ... + 3530884.

It is an arithmetic number, because the mean of its divisors is an integer number (869204925).

Almost surely, 2^45426507160 is an apocalyptic number.

45426507160 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 45426507160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55629115200).

45426507160 is an abundant number, since it is smaller than the sum of its proper divisors (65831723240).

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

45426507160 is a wasteful number, since it uses less digits than its factorization.

45426507160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13061 (or 13057 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 45426507160 in words is "forty-five billion, four hundred twenty-six million, five hundred seven thousand, one hundred sixty".