166496641600 has 105 divisors (see below), whose sum is σ = 413782656685. Its totient is φ = 65939264000.

The previous prime is 166496641573. The next prime is 166496641651. The reversal of 166496641600 is 6146694661.

The square root of 166496641600 is 408040.

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

It can be written as a sum of positive squares in 7 ways, for example, as 9782001216 + 156714640384 = 98904^2 + 395872^2 .

It is a super-2 number, since 2×166496641600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1648481550 + ... + 1648481650.

Almost surely, 2^166496641600 is an apocalyptic number.

166496641600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166496641600 is the 408040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166496641600

166496641600 is an abundant number, since it is smaller than the sum of its proper divisors (247286015085).

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

166496641600 is an frugal number, since it uses more digits than its factorization.

166496641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 166496641600 by its sum of digits (49), we get a square (8158335438400 = 2856280²).

The spelling of 166496641600 in words is "one hundred sixty-six billion, four hundred ninety-six million, six hundred forty-one thousand, six hundred".