2632145251347 has 80 divisors (see below), whose sum is σ = 4045702953600. Its totient is φ = 1704402311040.

The previous prime is 2632145251313. The next prime is 2632145251349. The reversal of 2632145251347 is 7431525412362.

2632145251347 is a `hidden beast` number, since 2 + 6 + 32 + 14 + 52 + 513 + 47 = 666.

It is not a de Polignac number, because 2632145251347 - 2¹⁴ = 2632145234963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2632145251349) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 989899104 + ... + 989901762.

It is an arithmetic number, because the mean of its divisors is an integer number (50571286920).

Almost surely, 2^{2632145251347} is an apocalyptic number.

2632145251347 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2632145251347 is a deficient number, since it is larger than the sum of its proper divisors (1413557702253).

2632145251347 is a wasteful number, since it uses less digits than its factorization.

2632145251347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3909 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 2632145251347 in words is "two trillion, six hundred thirty-two billion, one hundred forty-five million, two hundred fifty-one thousand, three hundred forty-seven".