61414176681 has 192 divisors, whose sum is σ = 111083132160. Its totient is φ = 32188907520.

The previous prime is 61414176631. The next prime is 61414176689. The reversal of 61414176681 is 18667141416.

61414176681 is a `hidden beast` number, since 6 + 1 + 414 + 176 + 68 + 1 = 666.

It is not a de Polignac number, because 61414176681 - 2¹⁸ = 61413914537 is a prime.

It is a super-2 number, since 2×61414176681² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61414176689) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182237745 + ... + 182238081.

It is an arithmetic number, because the mean of its divisors is an integer number (578557980).

Almost surely, 2^61414176681 is an apocalyptic number.

It is an amenable number.

61414176681 is a deficient number, since it is larger than the sum of its proper divisors (49668955479).

61414176681 is a wasteful number, since it uses less digits than its factorization.

61414176681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 61414176681 in words is "sixty-one billion, four hundred fourteen million, one hundred seventy-six thousand, six hundred eighty-one".