45269171136 has 560 divisors, whose sum is σ = 162440745984. Its totient is φ = 12185800704.

The previous prime is 45269171131. The next prime is 45269171141. The reversal of 45269171136 is 63117196254.

45269171136 is a `hidden beast` number, since 4 + 526 + 9 + 1 + 7 + 113 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (45269171131) and next prime (45269171141).

It is a junction number, because it is equal to n+sod(n) for n = 45269171091 and 45269171100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45269171131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60927181 + ... + 60927923.

Almost surely, 2^45269171136 is an apocalyptic number.

45269171136 is a gapful number since it is divisible by the number (46) 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 45269171136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81220372992).

45269171136 is an abundant number, since it is smaller than the sum of its proper divisors (117171574848).

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

45269171136 is a wasteful number, since it uses less digits than its factorization.

45269171136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 851 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 45269171136 in words is "forty-five billion, two hundred sixty-nine million, one hundred seventy-one thousand, one hundred thirty-six".