45706100256 has 144 divisors (see below), whose sum is σ = 140695984800. Its totient is φ = 14433406848.

The previous prime is 45706100243. The next prime is 45706100257. The reversal of 45706100256 is 65200160754.

It is a happy number.

45706100256 is a `hidden beast` number, since 4 + 570 + 61 + 0 + 0 + 25 + 6 = 666.

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

It is a super-2 number, since 2×45706100256² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45706100256.

It is not an unprimeable number, because it can be changed into a prime (45706100257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238635 + ... + 385173.

It is an arithmetic number, because the mean of its divisors is an integer number (977055450).

Almost surely, 2^45706100256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45706100256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70347992400).

45706100256 is an abundant number, since it is smaller than the sum of its proper divisors (94989884544).

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

45706100256 is a wasteful number, since it uses less digits than its factorization.

45706100256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146596 (or 146563 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 45706100256 in words is "forty-five billion, seven hundred six million, one hundred thousand, two hundred fifty-six".