31483644337152 has 704 divisors, whose sum is σ = 112992827904000. Its totient is φ = 8453779881984.

The previous prime is 31483644337151. The next prime is 31483644337247. The reversal of 31483644337152 is 25173344638413.

31483644337152 is a `hidden beast` number, since 3 + 1 + 4 + 83 + 6 + 443 + 3 + 71 + 52 = 666.

It is a super-5 number, since 5×31483644337152⁵ (a number of 69 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31483644337151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2365583874 + ... + 2365597182.

It is an arithmetic number, because the mean of its divisors is an integer number (160501176000).

Almost surely, 2^{31483644337152} is an apocalyptic number.

31483644337152 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 31483644337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56496413952000).

31483644337152 is an abundant number, since it is smaller than the sum of its proper divisors (81509183566848).

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

31483644337152 is a wasteful number, since it uses less digits than its factorization.

31483644337152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14081 (or 14057 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 31483644337152 in words is "thirty-one trillion, four hundred eighty-three billion, six hundred forty-four million, three hundred thirty-seven thousand, one hundred fifty-two".