31453867081728 has 2720 divisors, whose sum is σ = 127891741824000. Its totient is φ = 7466775478272.

The previous prime is 31453867081727. The next prime is 31453867081787. The reversal of 31453867081728 is 82718076835413.

It is a happy number.

31453867081728 is a `hidden beast` number, since 3 + 1 + 4 + 538 + 6 + 70 + 8 + 1 + 7 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31453867081727) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 211099778998 + ... + 211099779146.

Almost surely, 2^{31453867081728} is an apocalyptic number.

31453867081728 is a gapful number since it is divisible by the number (38) 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 31453867081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63945870912000).

31453867081728 is an abundant number, since it is smaller than the sum of its proper divisors (96437874742272).

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

31453867081728 is a wasteful number, since it uses less digits than its factorization.

31453867081728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 31453867081728 in words is "thirty-one trillion, four hundred fifty-three billion, eight hundred sixty-seven million, eighty-one thousand, seven hundred twenty-eight".