11426144146564 has 81 divisors (see below), whose sum is σ = 23552082960357. Its totient is φ = 4836256809888.

The previous prime is 11426144146537. The next prime is 11426144146577. The reversal of 11426144146564 is 46564144162411.

The square root of 11426144146564 is 3380258.

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., 9909009988164 + 1517134158400 = 3147858^2 + 1231720^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3927858342 + ... + 3927861250.

Almost surely, 2^{11426144146564} is an apocalyptic number.

11426144146564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11426144146564 is the 3380258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11426144146564

11426144146564 is an abundant number, since it is smaller than the sum of its proper divisors (12125938813793).

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

11426144146564 is an frugal number, since it uses more digits than its factorization.

11426144146564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002 (or 3001 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 49.

Multiplying 11426144146564 by its sum of digits (49), we get a square (559881063181636 = 23661806²).

11426144146564 divided by its sum of digits (49) gives a square (233186615236 = 482894²).

The spelling of 11426144146564 in words is "eleven trillion, four hundred twenty-six billion, one hundred forty-four million, one hundred forty-six thousand, five hundred sixty-four".