11463641640000 has 2835 divisors, whose sum is σ = 49461878156691. Its totient is φ = 2632798080000.

The previous prime is 11463641639993. The next prime is 11463641640013. The reversal of 11463641640000 is 4614636411.

The square root of 11463641640000 is 3385800.

It is a perfect power (a square), and thus also a powerful number.

11463641640000 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 3 + 6 + 4 + 1 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 898749504576 + 10564892135424 = 948024^2 + 3250368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 603349559991 + ... + 603349560009.

Almost surely, 2^{11463641640000} is an apocalyptic number.

11463641640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11463641640000 is the 3385800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11463641640000

11463641640000 is an abundant number, since it is smaller than the sum of its proper divisors (37998236516691).

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

11463641640000 is an frugal number, since it uses more digits than its factorization.

11463641640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 11463641640000 by its sum of digits (36), we get a square (412691099040000 = 20314800²).

11463641640000 divided by its sum of digits (36) gives a square (318434490000 = 564300²).

The spelling of 11463641640000 in words is "eleven trillion, four hundred sixty-three billion, six hundred forty-one million, six hundred forty thousand".