1014090891264 has 408 divisors, whose sum is σ = 3220414470000. Its totient is φ = 304946872320.

The previous prime is 1014090891251. The next prime is 1014090891271. The reversal of 1014090891264 is 4621980904101.

It is a happy number.

1014090891264 is a `hidden beast` number, since 101 + 409 + 0 + 89 + 1 + 2 + 64 = 666.

It is a super-2 number, since 2×1014090891264² (a number of 25 digits) contains 22 as substring.

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, 966721012 + ... + 966722060.

Almost surely, 2^{1014090891264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014090891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610207235000).

1014090891264 is an abundant number, since it is smaller than the sum of its proper divisors (2206323578736).

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

1014090891264 is a wasteful number, since it uses less digits than its factorization.

1014090891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1014090891264 in words is "one trillion, fourteen billion, ninety million, eight hundred ninety-one thousand, two hundred sixty-four".