1156046438416 has 45 divisors (see below), whose sum is σ = 2248867224093. Its totient is φ = 575702946240.

The previous prime is 1156046438411. The next prime is 1156046438419. The reversal of 1156046438416 is 6148346406511.

The square root of 1156046438416 is 1075196.

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., 272897580816 + 883148857600 = 522396^2 + 939760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1156046438416.

It is not an unprimeable number, because it can be changed into a prime (1156046438411) 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, 1673004631 + ... + 1673005321.

Almost surely, 2^{1156046438416} is an apocalyptic number.

1156046438416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1156046438416 is the 1075196-th square number.

It is an amenable number.

1156046438416 is a deficient number, since it is larger than the sum of its proper divisors (1092820785677).

1156046438416 is an frugal number, since it uses more digits than its factorization.

1156046438416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 1156046438416 by its sum of digits (49), we get a square (56646275482384 = 7526372²).

The spelling of 1156046438416 in words is "one trillion, one hundred fifty-six billion, forty-six million, four hundred thirty-eight thousand, four hundred sixteen".