51629920146 has 144 divisors (see below), whose sum is σ = 133797640704. Its totient is φ = 14093097984.

The previous prime is 51629920093. The next prime is 51629920157. The reversal of 51629920146 is 64102992615.

51629920146 is a `hidden beast` number, since 5 + 1 + 629 + 9 + 2 + 0 + 14 + 6 = 666.

It is a super-2 number, since 2×51629920146² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10276191 + ... + 10281213.

Almost surely, 2^51629920146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51629920146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66898820352).

51629920146 is an abundant number, since it is smaller than the sum of its proper divisors (82167720558).

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

51629920146 is a wasteful number, since it uses less digits than its factorization.

51629920146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 51629920146 in words is "fifty-one billion, six hundred twenty-nine million, nine hundred twenty thousand, one hundred forty-six".