11754843672 has 192 divisors, whose sum is σ = 34849992960. Its totient is φ = 3275251200.

The previous prime is 11754843671. The next prime is 11754843721. The reversal of 11754843672 is 27634845711.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11754843671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21727722 + ... + 21728262.

It is an arithmetic number, because the mean of its divisors is an integer number (181510380).

Almost surely, 2^11754843672 is an apocalyptic number.

11754843672 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 11754843672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424996480).

11754843672 is an abundant number, since it is smaller than the sum of its proper divisors (23095149288).

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

11754843672 is a wasteful number, since it uses less digits than its factorization.

11754843672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1057 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 11754843672 in words is "eleven billion, seven hundred fifty-four million, eight hundred forty-three thousand, six hundred seventy-two".