11832609300736 has 81 divisors (see below), whose sum is σ = 27476054930541. Its totient is φ = 5070953158656.

The previous prime is 11832609300679. The next prime is 11832609300749. The reversal of 11832609300736 is 63700390623811.

The square root of 11832609300736 is 3439856.

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., 10655262777600 + 1177346523136 = 3264240^2 + 1085056^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 11832609300736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 385248516 + ... + 385279228.

Almost surely, 2^{11832609300736} is an apocalyptic number.

11832609300736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11832609300736 is the 3439856-th square number.

It is an amenable number.

11832609300736 is an abundant number, since it is smaller than the sum of its proper divisors (15643445629805).

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

11832609300736 is an frugal number, since it uses more digits than its factorization.

11832609300736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61456 (or 30722 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

Multiplying 11832609300736 by its sum of digits (49), we get a square (579797855736064 = 24078992²).

11832609300736 divided by its sum of digits (49) gives a square (241481822464 = 491408²).

The spelling of 11832609300736 in words is "eleven trillion, eight hundred thirty-two billion, six hundred nine million, three hundred thousand, seven hundred thirty-six".