11846961504000 has 1440 divisors, whose sum is σ = 50610420596736. Its totient is φ = 2706869145600.

The previous prime is 11846961503987. The next prime is 11846961504013. The reversal of 11846961504000 is 40516964811.

11846961504000 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 6 + 96 + 150 + 400 + 0 = 666.

11846961504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11846961503987) and next prime (11846961504013).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4408990657 + ... + 4408993343.

Almost surely, 2^{11846961504000} is an apocalyptic number.

11846961504000 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 11846961504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25305210298368).

11846961504000 is an abundant number, since it is smaller than the sum of its proper divisors (38763459092736).

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

11846961504000 is an frugal number, since it uses more digits than its factorization.

11846961504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11846961504000 in words is "eleven trillion, eight hundred forty-six billion, nine hundred sixty-one million, five hundred four thousand".