704948112900 has 432 divisors, whose sum is σ = 2319593203200. Its totient is φ = 178887813120.

The previous prime is 704948112881. The next prime is 704948112929. The reversal of 704948112900 is 9211849407.

It is a happy number.

704948112900 is a `hidden beast` number, since 7 + 0 + 49 + 481 + 129 + 0 + 0 = 666.

It is a super-2 number, since 2×704948112900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 438127296 + ... + 438128904.

Almost surely, 2^704948112900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 704948112900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159796601600).

704948112900 is an abundant number, since it is smaller than the sum of its proper divisors (1614645090300).

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

704948112900 is a wasteful number, since it uses less digits than its factorization.

704948112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 704948112900 in words is "seven hundred four billion, nine hundred forty-eight million, one hundred twelve thousand, nine hundred".