1014977992896 has 336 divisors, whose sum is σ = 3475381099008. Its totient is φ = 276908544000.

The previous prime is 1014977992843. The next prime is 1014977992901. The reversal of 1014977992896 is 6982997794101.

1014977992896 is a `hidden beast` number, since 101 + 497 + 7 + 9 + 9 + 28 + 9 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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, 55725231 + ... + 55743441.

It is an arithmetic number, because the mean of its divisors is an integer number (10343396128).

Almost surely, 2^{1014977992896} is an apocalyptic number.

1014977992896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014977992896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737690549504).

1014977992896 is an abundant number, since it is smaller than the sum of its proper divisors (2460403106112).

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

1014977992896 is a wasteful number, since it uses less digits than its factorization.

1014977992896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18860 (or 18847 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 72.

The spelling of 1014977992896 in words is "one trillion, fourteen billion, nine hundred seventy-seven million, nine hundred ninety-two thousand, eight hundred ninety-six".