11734887738816 has 1344 divisors, whose sum is σ = 43174368921600. Its totient is φ = 3102397562880.

The previous prime is 11734887738803. The next prime is 11734887738841. The reversal of 11734887738816 is 61883778843711.

11734887738816 is a `hidden beast` number, since 1 + 1 + 73 + 488 + 7 + 73 + 8 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×11734887738816² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 3174163080 + ... + 3174166776.

It is an arithmetic number, because the mean of its divisors is an integer number (32123786400).

Almost surely, 2^{11734887738816} is an apocalyptic number.

11734887738816 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 11734887738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587184460800).

11734887738816 is an abundant number, since it is smaller than the sum of its proper divisors (31439481182784).

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

11734887738816 is a wasteful number, since it uses less digits than its factorization.

11734887738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3796 counting only the distinct ones).

The product of its digits is 303464448, while the sum is 72.

The spelling of 11734887738816 in words is "eleven trillion, seven hundred thirty-four billion, eight hundred eighty-seven million, seven hundred thirty-eight thousand, eight hundred sixteen".