61160372691264 has 336 divisors, whose sum is σ = 223893078304896. Its totient is φ = 15498351820800.

The previous prime is 61160372691239. The next prime is 61160372691323. The reversal of 61160372691264 is 46219627306116.

It is a happy number.

61160372691264 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 0 + 372 + 6 + 9 + 1 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×61160372691264² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61160372691264.

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, 14998357 + ... + 18635220.

It is an arithmetic number, because the mean of its divisors is an integer number (666348447336).

Almost surely, 2^{61160372691264} is an apocalyptic number.

61160372691264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61160372691264 is an abundant number, since it is smaller than the sum of its proper divisors (162732705613632).

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

61160372691264 is a wasteful number, since it uses less digits than its factorization.

61160372691264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33633654 (or 33633641 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 61160372691264 in words is "sixty-one trillion, one hundred sixty billion, three hundred seventy-two million, six hundred ninety-one thousand, two hundred sixty-four".