166934347776 has 567 divisors, whose sum is σ = 592069767471. Its totient is φ = 45185236992.

The previous prime is 166934347771. The next prime is 166934347807. The reversal of 166934347776 is 677743439661.

The square root of 166934347776 is 408576.

It is a perfect power (a square), and thus also a powerful number.

166934347776 is a `hidden beast` number, since 1 + 6 + 6 + 93 + 4 + 3 + 477 + 76 = 666.

It is a super-2 number, since 2×166934347776² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (96018048) is a multiple of the sum of its prime factors (98).

It is not an unprimeable number, because it can be changed into a prime (166934347771) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8786018295 + ... + 8786018313.

Almost surely, 2^166934347776 is an apocalyptic number.

166934347776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166934347776 is the 408576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166934347776

166934347776 is an abundant number, since it is smaller than the sum of its proper divisors (425135419695).

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

166934347776 is an frugal number, since it uses more digits than its factorization.

166934347776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 31 counting only the distinct ones).

The product of its digits is 96018048, while the sum is 63.

The spelling of 166934347776 in words is "one hundred sixty-six billion, nine hundred thirty-four million, three hundred forty-seven thousand, seven hundred seventy-six".