181970496400 has 405 divisors, whose sum is σ = 561022254387. Its totient is φ = 56513318400.

The previous prime is 181970496361. The next prime is 181970496427. The reversal of 181970496400 is 4694079181.

The square root of 181970496400 is 426580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41699273616 + 140271222784 = 204204^2 + 374528^2 .

It is a super-2 number, since 2×181970496400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 656933062 + ... + 656933338.

Almost surely, 2^181970496400 is an apocalyptic number.

181970496400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

181970496400 is the 426580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181970496400

181970496400 is an abundant number, since it is smaller than the sum of its proper divisors (379051757987).

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

181970496400 is a wasteful number, since it uses less digits than its factorization.

181970496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 181970496400 by its sum of digits (49), we get a square (8916554323600 = 2986060²).

181970496400 divided by its sum of digits (49) gives a square (3713683600 = 60940²).

The spelling of 181970496400 in words is "one hundred eighty-one billion, nine hundred seventy million, four hundred ninety-six thousand, four hundred".