61416734976 has 135 divisors (see below), whose sum is σ = 183240063853. Its totient is φ = 20460349440.

The previous prime is 61416734971. The next prime is 61416735047. The reversal of 61416734976 is 67943761416.

The square root of 61416734976 is 247824.

It is a perfect power (a square), and thus also a powerful number.

61416734976 is a `hidden beast` number, since 6 + 141 + 6 + 7 + 3 + 497 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45358776576 + 16057958400 = 212976^2 + 126720^2 .

It is a super-2 number, since 2×61416734976² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61416734971) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 35685796 + ... + 35687516.

Almost surely, 2^61416734976 is an apocalyptic number.

61416734976 is the 247824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61416734976

61416734976 is an abundant number, since it is smaller than the sum of its proper divisors (121823328877).

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

61416734976 is an frugal number, since it uses more digits than its factorization.

61416734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 1726 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 61416734976 in words is "sixty-one billion, four hundred sixteen million, seven hundred thirty-four thousand, nine hundred seventy-six".