31111752672 has 864 divisors, whose sum is σ = 125609387904. Its totient is φ = 7446297600.

The previous prime is 31111752611. The next prime is 31111752691. The reversal of 31111752672 is 27625711113.

31111752672 is a `hidden beast` number, since 3 + 11 + 117 + 526 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×31111752672³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54486147 + ... + 54486717.

It is an arithmetic number, because the mean of its divisors is an integer number (145381236).

Almost surely, 2^31111752672 is an apocalyptic number.

31111752672 is a gapful number since it is divisible by the number (32) 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 31111752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62804693952).

31111752672 is an abundant number, since it is smaller than the sum of its proper divisors (94497635232).

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

31111752672 is a wasteful number, since it uses less digits than its factorization.

31111752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 607 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The spelling of 31111752672 in words is "thirty-one billion, one hundred eleven million, seven hundred fifty-two thousand, six hundred seventy-two".