36074981181456 has 240 divisors, whose sum is σ = 125691595401600. Its totient is φ = 9859000935168.

The previous prime is 36074981181443. The next prime is 36074981181457. The reversal of 36074981181456 is 65418118947063.

36074981181456 is a `hidden beast` number, since 3 + 6 + 0 + 7 + 4 + 98 + 11 + 81 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 36074981181393 and 36074981181402.

It is not an unprimeable number, because it can be changed into a prime (36074981181457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36561451 + ... + 37535178.

It is an arithmetic number, because the mean of its divisors is an integer number (523714980840).

Almost surely, 2^{36074981181456} is an apocalyptic number.

36074981181456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36074981181456 is an abundant number, since it is smaller than the sum of its proper divisors (89616614220144).

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

36074981181456 is a wasteful number, since it uses less digits than its factorization.

36074981181456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74096683 (or 74096664 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 36074981181456 in words is "thirty-six trillion, seventy-four billion, nine hundred eighty-one million, one hundred eighty-one thousand, four hundred fifty-six".