11676152734092 has 864 divisors, whose sum is σ = 39913965000000. Its totient is φ = 2840427233280.

The previous prime is 11676152734091. The next prime is 11676152734093. The reversal of 11676152734092 is 29043725167611.

11676152734092 is a `hidden beast` number, since 1 + 1 + 6 + 76 + 1 + 527 + 3 + 40 + 9 + 2 = 666.

11676152734092 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 (11676152734091) and next prime (11676152734093).

It is not an unprimeable number, because it can be changed into a prime (11676152734091) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9348400284 + ... + 9348401532.

It is an arithmetic number, because the mean of its divisors is an integer number (46196718750).

Almost surely, 2^{11676152734092} is an apocalyptic number.

11676152734092 is a gapful number since it is divisible by the number (12) 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 11676152734092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956982500000).

11676152734092 is an abundant number, since it is smaller than the sum of its proper divisors (28237812265908).

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

11676152734092 is a wasteful number, since it uses less digits than its factorization.

11676152734092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 11676152734092 in words is "eleven trillion, six hundred seventy-six billion, one hundred fifty-two million, seven hundred thirty-four thousand, ninety-two".