61314262632 has 128 divisors (see below), whose sum is σ = 194773881600. Its totient is φ = 17507073024.

The previous prime is 61314262601. The next prime is 61314262643. The reversal of 61314262632 is 23626241316.

61314262632 is a `hidden beast` number, since 6 + 1 + 3 + 14 + 2 + 6 + 2 + 632 = 666.

61314262632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 2493148 + ... + 2517620.

It is an arithmetic number, because the mean of its divisors is an integer number (1521670950).

Almost surely, 2^61314262632 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 61314262632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97386940800).

61314262632 is an abundant number, since it is smaller than the sum of its proper divisors (133459618968).

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

61314262632 is a wasteful number, since it uses less digits than its factorization.

61314262632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26152 (or 26142 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 61314262632 in words is "sixty-one billion, three hundred fourteen million, two hundred sixty-two thousand, six hundred thirty-two".