11401506383904 has 864 divisors, whose sum is σ = 42552674970624. Its totient is φ = 2825590210560.

The previous prime is 11401506383797. The next prime is 11401506383983. The reversal of 11401506383904 is 40938360510411.

11401506383904 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 5 + 0 + 638 + 3 + 9 + 0 + 4 = 666.

11401506383904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11401506383904.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4998467244 + ... + 4998469524.

It is an arithmetic number, because the mean of its divisors is an integer number (49250781216).

Almost surely, 2^{11401506383904} is an apocalyptic number.

11401506383904 is a gapful number since it is divisible by the number (14) 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 11401506383904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21276337485312).

11401506383904 is an abundant number, since it is smaller than the sum of its proper divisors (31151168586720).

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

11401506383904 is a wasteful number, since it uses less digits than its factorization.

11401506383904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11401506383904 in words is "eleven trillion, four hundred one billion, five hundred six million, three hundred eighty-three thousand, nine hundred four".