45947271552 has 128 divisors (see below), whose sum is σ = 150212348160. Its totient is φ = 12117952512.

The previous prime is 45947271547. The next prime is 45947271583. The reversal of 45947271552 is 25517274954.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×45947271552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45947271495 and 45947271504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622498 + ... + 692385.

It is an arithmetic number, because the mean of its divisors is an integer number (1173533970).

Almost surely, 2^45947271552 is an apocalyptic number.

45947271552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45947271552 is an abundant number, since it is smaller than the sum of its proper divisors (104265076608).

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

45947271552 is a wasteful number, since it uses less digits than its factorization.

45947271552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314920 (or 1314908 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 51.

The spelling of 45947271552 in words is "forty-five billion, nine hundred forty-seven million, two hundred seventy-one thousand, five hundred fifty-two".