11734959326976 has 432 divisors, whose sum is σ = 35752185967680. Its totient is φ = 3694400962560.

The previous prime is 11734959326933. The next prime is 11734959327001. The reversal of 11734959326976 is 67962395943711.

It is a happy number.

11734959326976 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 4 + 9 + 593 + 26 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4815328830 + ... + 4815331266.

It is an arithmetic number, because the mean of its divisors is an integer number (82759689740).

Almost surely, 2^{11734959326976} is an apocalyptic number.

11734959326976 is a gapful number since it is divisible by the number (16) 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 11734959326976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17876092983840).

11734959326976 is an abundant number, since it is smaller than the sum of its proper divisors (24017226640704).

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

11734959326976 is a wasteful number, since it uses less digits than its factorization.

11734959326976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3575 counting only the distinct ones).

The product of its digits is 462944160, while the sum is 72.

The spelling of 11734959326976 in words is "eleven trillion, seven hundred thirty-four billion, nine hundred fifty-nine million, three hundred twenty-six thousand, nine hundred seventy-six".