171980734464 has 1260 divisors, whose sum is σ = 685916067312. Its totient is φ = 42042654720.

The previous prime is 171980734463. The next prime is 171980734537. The reversal of 171980734464 is 464437089171.

It is a happy number.

171980734464 is a `hidden beast` number, since 1 + 7 + 198 + 0 + 7 + 3 + 446 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 171980734464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171980734463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 10116513784 + ... + 10116513800.

Almost surely, 2^171980734464 is an apocalyptic number.

171980734464 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 171980734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342958033656).

171980734464 is an abundant number, since it is smaller than the sum of its proper divisors (513935332848).

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

171980734464 is an frugal number, since it uses more digits than its factorization.

171980734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 171980734464 in words is "one hundred seventy-one billion, nine hundred eighty million, seven hundred thirty-four thousand, four hundred sixty-four".