31743360516672 has 560 divisors, whose sum is σ = 113686128167040. Its totient is φ = 8555268169728.

The previous prime is 31743360516671. The next prime is 31743360516701. The reversal of 31743360516672 is 27661506334713.

It is a happy number.

31743360516672 is a `hidden beast` number, since 3 + 1 + 7 + 4 + 3 + 3 + 60 + 516 + 67 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31743360516671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 160548178 + ... + 160745774.

Almost surely, 2^{31743360516672} is an apocalyptic number.

31743360516672 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 31743360516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56843064083520).

31743360516672 is an abundant number, since it is smaller than the sum of its proper divisors (81942767650368).

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

31743360516672 is a wasteful number, since it uses less digits than its factorization.

31743360516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197880 (or 197861 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 31743360516672 in words is "thirty-one trillion, seven hundred forty-three billion, three hundred sixty million, five hundred sixteen thousand, six hundred seventy-two".