1015854346816 has 63 divisors (see below), whose sum is σ = 2141678753337. Its totient is φ = 477984599040.

The previous prime is 1015854346813. The next prime is 1015854346817. The reversal of 1015854346816 is 6186434585101.

The square root of 1015854346816 is 1007896.

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., 790890062400 + 224964284416 = 889320^2 + 474304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1015854346813) 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, 137070151 + ... + 137077561.

Almost surely, 2^{1015854346816} is an apocalyptic number.

1015854346816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1015854346816 is the 1007896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1015854346816

1015854346816 is an abundant number, since it is smaller than the sum of its proper divisors (1125824406521).

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

1015854346816 is an frugal number, since it uses more digits than its factorization.

1015854346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14868 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 1015854346816 in words is "one trillion, fifteen billion, eight hundred fifty-four million, three hundred forty-six thousand, eight hundred sixteen".