11374932114000 has 2560 divisors, whose sum is σ = 52412645376000. Its totient is φ = 2293733376000.

The previous prime is 11374932113933. The next prime is 11374932114019. The reversal of 11374932114000 is 41123947311.

It is a happy number.

11374932114000 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 493 + 21 + 140 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 13557725581 + ... + 13557726419.

It is an arithmetic number, because the mean of its divisors is an integer number (20473689600).

Almost surely, 2^{11374932114000} is an apocalyptic number.

11374932114000 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 11374932114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26206322688000).

11374932114000 is an abundant number, since it is smaller than the sum of its proper divisors (41037713262000).

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

11374932114000 is a wasteful number, since it uses less digits than its factorization.

11374932114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11374932114000 in words is "eleven trillion, three hundred seventy-four billion, nine hundred thirty-two million, one hundred fourteen thousand".