172671408051744 has 384 divisors, whose sum is σ = 540808219607040. Its totient is φ = 47202899558400.

The previous prime is 172671408051673. The next prime is 172671408051767. The reversal of 172671408051744 is 447150804176271.

172671408051744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697727452 + ... + 697974884.

It is an arithmetic number, because the mean of its divisors is an integer number (1408354738560).

Almost surely, 2^{172671408051744} is an apocalyptic number.

172671408051744 is a gapful number since it is divisible by the number (14) 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 172671408051744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270404109803520).

172671408051744 is an abundant number, since it is smaller than the sum of its proper divisors (368136811555296).

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

172671408051744 is a wasteful number, since it uses less digits than its factorization.

172671408051744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247864 (or 247856 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 57.

The spelling of 172671408051744 in words is "one hundred seventy-two trillion, six hundred seventy-one billion, four hundred eight million, fifty-one thousand, seven hundred forty-four".