61497188179416 has 192 divisors, whose sum is σ = 189063293253120. Its totient is φ = 17894878460160.

The previous prime is 61497188179397. The next prime is 61497188179457.

It is a happy number.

61497188179416 is a `hidden beast` number, since 6 + 1 + 497 + 1 + 88 + 17 + 9 + 41 + 6 = 666.

61497188179416 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61497188179416² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13612830 + ... + 17558573.

It is an arithmetic number, because the mean of its divisors is an integer number (984704652360).

Almost surely, 2^{61497188179416} is an apocalyptic number.

61497188179416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61497188179416 is an abundant number, since it is smaller than the sum of its proper divisors (127566105073704).

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

61497188179416 is a wasteful number, since it uses less digits than its factorization.

61497188179416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31171526 (or 31171519 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 72.

The spelling of 61497188179416 in words is "sixty-one trillion, four hundred ninety-seven billion, one hundred eighty-eight million, one hundred seventy-nine thousand, four hundred sixteen".