1014870878464 has 81 divisors (see below), whose sum is σ = 2054322326217. Its totient is φ = 500383583232.

The previous prime is 1014870878363. The next prime is 1014870878467. The reversal of 1014870878464 is 4648780784101.

It is a happy number.

The square root of 1014870878464 is 1007408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 492130310400 + 522740568064 = 701520^2 + 723008^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1014870878399 and 1014870878408.

It is not an unprimeable number, because it can be changed into a prime (1014870878467) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1273363314 + ... + 1273364110.

Almost surely, 2^{1014870878464} is an apocalyptic number.

1014870878464 is the 1007408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014870878464

1014870878464 is an abundant number, since it is smaller than the sum of its proper divisors (1039451447753).

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

1014870878464 is an frugal number, since it uses more digits than its factorization.

1014870878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 58.

The spelling of 1014870878464 in words is "one trillion, fourteen billion, eight hundred seventy million, eight hundred seventy-eight thousand, four hundred sixty-four".