1213407072864 has 144 divisors (see below), whose sum is σ = 3948787428768. Its totient is φ = 346229323776.

The previous prime is 1213407072859. The next prime is 1213407072937. The reversal of 1213407072864 is 4682707043121.

1213407072864 is a `hidden beast` number, since 1 + 21 + 340 + 7 + 0 + 7 + 286 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1128564 + ... + 1923660.

It is an arithmetic number, because the mean of its divisors is an integer number (27422134922).

Almost surely, 2^{1213407072864} is an apocalyptic number.

1213407072864 is a gapful number since it is divisible by the number (14) 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 1213407072864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974393714384).

1213407072864 is an abundant number, since it is smaller than the sum of its proper divisors (2735380355904).

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

1213407072864 is a wasteful number, since it uses less digits than its factorization.

1213407072864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795877 (or 795866 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1213407072864 in words is "one trillion, two hundred thirteen billion, four hundred seven million, seventy-two thousand, eight hundred sixty-four".