51146232641532 has 144 divisors (see below), whose sum is σ = 154211750364672. Its totient is φ = 13974969191040.

The previous prime is 51146232641501. The next prime is 51146232641549. The reversal of 51146232641532 is 23514623264115.

51146232641532 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 623 + 2 + 6 + 4 + 15 + 3 + 2 = 666.

It is a super-2 number, since 2×51146232641532² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27266683 + ... + 29082029.

It is an arithmetic number, because the mean of its divisors is an integer number (1070914933088).

Almost surely, 2^{51146232641532} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51146232641532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77105875182336).

51146232641532 is an abundant number, since it is smaller than the sum of its proper divisors (103065517723140).

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

51146232641532 is a wasteful number, since it uses less digits than its factorization.

51146232641532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820248 (or 1820243 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 51146232641532 in words is "fifty-one trillion, one hundred forty-six billion, two hundred thirty-two million, six hundred forty-one thousand, five hundred thirty-two".