1018734936976 has 45 divisors (see below), whose sum is σ = 2096875784881. Its totient is φ = 479372377856.

The previous prime is 1018734936943. The next prime is 1018734936977. The reversal of 1018734936976 is 6796394378101.

The square root of 1018734936976 is 1009324.

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., 793132736400 + 225602200576 = 890580^2 + 474976^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1018734936977) 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, 68626611 + ... + 68641453.

Almost surely, 2^{1018734936976} is an apocalyptic number.

1018734936976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1018734936976 is the 1009324-th square number.

It is an amenable number.

1018734936976 is an abundant number, since it is smaller than the sum of its proper divisors (1078140847905).

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

1018734936976 is an frugal number, since it uses more digits than its factorization.

1018734936976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29728 (or 14862 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 64.

Multiplying 1018734936976 by its sum of digits (64), we get a square (65199035966464 = 8074592²).

The spelling of 1018734936976 in words is "one trillion, eighteen billion, seven hundred thirty-four million, nine hundred thirty-six thousand, nine hundred seventy-six".