11749953429672 has 64 divisors (see below), whose sum is σ = 30429449366400. Its totient is φ = 3778189071360.

The previous prime is 11749953429653. The next prime is 11749953429673. The reversal of 11749953429672 is 27692435994711.

It is a super-2 number, since 2×11749953429672² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11749953429597 and 11749953429606.

It is not an unprimeable number, because it can be changed into a prime (11749953429673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66996748 + ... + 67171899.

It is an arithmetic number, because the mean of its divisors is an integer number (475460146350).

Almost surely, 2^{11749953429672} is an apocalyptic number.

11749953429672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11749953429672 is an abundant number, since it is smaller than the sum of its proper divisors (18679495936728).

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

11749953429672 is a wasteful number, since it uses less digits than its factorization.

11749953429672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134168786 (or 134168782 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 69.

The spelling of 11749953429672 in words is "eleven trillion, seven hundred forty-nine billion, nine hundred fifty-three million, four hundred twenty-nine thousand, six hundred seventy-two".