251463364152 has 768 divisors, whose sum is σ = 896879692800. Its totient is φ = 56667340800.

The previous prime is 251463364129. The next prime is 251463364223.

251463364152 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (518400) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2592405768 + ... + 2592405864.

It is an arithmetic number, because the mean of its divisors is an integer number (1167812100).

Almost surely, 2^251463364152 is an apocalyptic number.

251463364152 is a gapful number since it is divisible by the number (22) 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 251463364152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448439846400).

251463364152 is an abundant number, since it is smaller than the sum of its proper divisors (645416328648).

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

251463364152 is a wasteful number, since it uses less digits than its factorization.

251463364152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 223 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 251463364152 in words is "two hundred fifty-one billion, four hundred sixty-three million, three hundred sixty-four thousand, one hundred fifty-two".