61408181352960 has 360 divisors, whose sum is σ = 230291765862444. Its totient is φ = 15115859066880.

The previous prime is 61408181352949. The next prime is 61408181352971. The reversal of 61408181352960 is 6925318180416.

It is a happy number.

61408181352960 is a `hidden beast` number, since 6 + 1 + 40 + 8 + 1 + 8 + 13 + 529 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (61408181352949) and next prime (61408181352971).

It can be written as a sum of positive squares in 6 ways, for example, as 4501797601536 + 56906383751424 = 2121744^2 + 7543632^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×61408181352960² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61408181352897 and 61408181352906.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3991701 + ... + 11779220.

Almost surely, 2^{61408181352960} is an apocalyptic number.

61408181352960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61408181352960 is an abundant number, since it is smaller than the sum of its proper divisors (168883584509484).

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

61408181352960 is a wasteful number, since it uses less digits than its factorization.

61408181352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15770976 (or 15770944 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 61408181352960 in words is "sixty-one trillion, four hundred eight billion, one hundred eighty-one million, three hundred fifty-two thousand, nine hundred sixty".