1081364812416 has 256 divisors, whose sum is σ = 3862018656000. Its totient is φ = 290787065856.

The previous prime is 1081364812387. The next prime is 1081364812471. The reversal of 1081364812416 is 6142184631801.

1081364812416 is a `hidden beast` number, since 1 + 0 + 8 + 136 + 481 + 24 + 16 = 666.

1081364812416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903421 + ... + 1725948.

It is an arithmetic number, because the mean of its divisors is an integer number (15086010375).

Almost surely, 2^{1081364812416} is an apocalyptic number.

1081364812416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1081364812416 is an abundant number, since it is smaller than the sum of its proper divisors (2780653843584).

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

1081364812416 is a wasteful number, since it uses less digits than its factorization.

1081364812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629416 (or 2629398 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1081364812416 in words is "one trillion, eighty-one billion, three hundred sixty-four million, eight hundred twelve thousand, four hundred sixteen".