51306461046 has 64 divisors (see below), whose sum is σ = 116104320000. Its totient is φ = 16791087456.

The previous prime is 51306461027. The next prime is 51306461051. The reversal of 51306461046 is 64016460315.

It is a happy number.

51306461046 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 646 + 1 + 0 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51306461046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730020 + ... + 797208.

It is an arithmetic number, because the mean of its divisors is an integer number (1814130000).

Almost surely, 2^51306461046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51306461046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58052160000).

51306461046 is an abundant number, since it is smaller than the sum of its proper divisors (64797858954).

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

51306461046 is a wasteful number, since it uses less digits than its factorization.

51306461046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67458 (or 67452 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 51306461046 in words is "fifty-one billion, three hundred six million, four hundred sixty-one thousand, forty-six".