61639057119744 has 200 divisors, whose sum is σ = 198128384375460. Its totient is φ = 18965863563264.

The previous prime is 61639057119721. The next prime is 61639057119763. The reversal of 61639057119744 is 44791175093616.

61639057119744 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 9 + 0 + 571 + 19 + 7 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61625012025600 + 14045094144 = 7850160^2 + 118512^2 .

It is a super-2 number, since 2×61639057119744² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56625529 + ... + 57703800.

Almost surely, 2^{61639057119744} is an apocalyptic number.

61639057119744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61639057119744 is an abundant number, since it is smaller than the sum of its proper divisors (136489327255716).

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

61639057119744 is a wasteful number, since it uses less digits than its factorization.

61639057119744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114329372 (or 114329347 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 61639057119744 in words is "sixty-one trillion, six hundred thirty-nine billion, fifty-seven million, one hundred nineteen thousand, seven hundred forty-four".