152646646251 has 48 divisors (see below), whose sum is σ = 227238241664. Its totient is φ = 91057824000.

The previous prime is 152646646199. The next prime is 152646646283.

It is a happy number.

152646646251 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 152646646251 - 2²³ = 152638257643 is a prime.

It is a super-2 number, since 2×152646646251² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 152646646251.

It is not an unprimeable number, because it can be changed into a prime (152646646151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48907971 + ... + 48911091.

Almost surely, 2^152646646251 is an apocalyptic number.

152646646251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152646646251 is a deficient number, since it is larger than the sum of its proper divisors (74591595413).

152646646251 is a wasteful number, since it uses less digits than its factorization.

152646646251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5213 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

It can be divided in two parts, 152646 and 646251, that added together give a palindrome (798897).

The spelling of 152646646251 in words is "one hundred fifty-two billion, six hundred forty-six million, six hundred forty-six thousand, two hundred fifty-one".