45271771272 has 384 divisors, whose sum is σ = 155600040960. Its totient is φ = 11573452800.

The previous prime is 45271771261. The next prime is 45271771277. The reversal of 45271771272 is 27217717254.

45271771272 is a `hidden beast` number, since 45 + 271 + 7 + 71 + 272 = 666.

It is not an unprimeable number, because it can be changed into a prime (45271771277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34797022 + ... + 34798322.

It is an arithmetic number, because the mean of its divisors is an integer number (405208440).

Almost surely, 2^45271771272 is an apocalyptic number.

45271771272 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 45271771272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77800020480).

45271771272 is an abundant number, since it is smaller than the sum of its proper divisors (110328269688).

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

45271771272 is a wasteful number, since it uses less digits than its factorization.

45271771272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1486 counting only the distinct ones).

The product of its digits is 384160, while the sum is 45.

The spelling of 45271771272 in words is "forty-five billion, two hundred seventy-one million, seven hundred seventy-one thousand, two hundred seventy-two".