31673696011776 has 1440 divisors, whose sum is σ = 125749145602080. Its totient is φ = 7861785329664.

The previous prime is 31673696011733. The next prime is 31673696011823. The reversal of 31673696011776 is 67711069637613.

31673696011776 is a `hidden beast` number, since 3 + 1 + 6 + 7 + 3 + 6 + 9 + 601 + 17 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1347289110 + ... + 1347312618.

It is an arithmetic number, because the mean of its divisors is an integer number (87325795557).

Almost surely, 2^{31673696011776} is an apocalyptic number.

31673696011776 is a gapful number since it is divisible by the number (36) 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 31673696011776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62874572801040).

31673696011776 is an abundant number, since it is smaller than the sum of its proper divisors (94075449590304).

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

31673696011776 is a wasteful number, since it uses less digits than its factorization.

31673696011776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23586 (or 23551 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 31673696011776 in words is "thirty-one trillion, six hundred seventy-three billion, six hundred ninety-six million, eleven thousand, seven hundred seventy-six".