172114854912 has 1056 divisors, whose sum is σ = 692986205184. Its totient is φ = 41206579200.

The previous prime is 172114854911. The next prime is 172114855009. The reversal of 172114854912 is 219458411271.

It is a happy number.

172114854912 is a `hidden beast` number, since 1 + 72 + 1 + 14 + 85 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is not an unprimeable number, because it can be changed into a prime (172114854911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249080487 + ... + 249081177.

Almost surely, 2^172114854912 is an apocalyptic number.

172114854912 is a gapful number since it is divisible by the number (12) 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 172114854912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346493102592).

172114854912 is an abundant number, since it is smaller than the sum of its proper divisors (520871350272).

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

172114854912 is a wasteful number, since it uses less digits than its factorization.

172114854912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 727 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 172114854912 in words is "one hundred seventy-two billion, one hundred fourteen million, eight hundred fifty-four thousand, nine hundred twelve".