11463947362560 has 1728 divisors, whose sum is σ = 47487124758528. Its totient is φ = 2330173440000.

The previous prime is 11463947362507. The next prime is 11463947362573. The reversal of 11463947362560 is 6526374936411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11463947362560.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26598485545 + ... + 26598485975.

It is an arithmetic number, because the mean of its divisors is an integer number (27480974976).

Almost surely, 2^{11463947362560} is an apocalyptic number.

11463947362560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11463947362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23743562379264).

11463947362560 is an abundant number, since it is smaller than the sum of its proper divisors (36023177395968).

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

11463947362560 is a wasteful number, since it uses less digits than its factorization.

11463947362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 11463947362560 in words is "eleven trillion, four hundred sixty-three billion, nine hundred forty-seven million, three hundred sixty-two thousand, five hundred sixty".