34661314512 has 120 divisors (see below), whose sum is σ = 106161651648. Its totient is φ = 10469721600.

The previous prime is 34661314511. The next prime is 34661314553. The reversal of 34661314512 is 21541316643.

34661314512 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 131 + 4 + 512 = 666.

34661314512 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (34661314511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460837 + ... + 530747.

Almost surely, 2^34661314512 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 34661314512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53080825824).

34661314512 is an abundant number, since it is smaller than the sum of its proper divisors (71500337136).

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

34661314512 is a wasteful number, since it uses less digits than its factorization.

34661314512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70249 (or 70240 counting only the distinct ones).

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

The spelling of 34661314512 in words is "thirty-four billion, six hundred sixty-one million, three hundred fourteen thousand, five hundred twelve".