61412756346 has 72 divisors (see below), whose sum is σ = 143565046560. Its totient is φ = 18920312640.

The previous prime is 61412756291. The next prime is 61412756401. The reversal of 61412756346 is 64365721416.

61412756346 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 2 + 7 + 5 + 634 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (61412756291) and next prime (61412756401).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 521491 + ... + 628313.

It is an arithmetic number, because the mean of its divisors is an integer number (1993958980).

Almost surely, 2^61412756346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61412756346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71782523280).

61412756346 is an abundant number, since it is smaller than the sum of its proper divisors (82152290214).

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

61412756346 is a wasteful number, since it uses less digits than its factorization.

61412756346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106932 (or 106888 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 61412756346 in words is "sixty-one billion, four hundred twelve million, seven hundred fifty-six thousand, three hundred forty-six".