61848818400 has 72 divisors (see below), whose sum is σ = 201317911704. Its totient is φ = 16493017600.

The previous prime is 61848818393. The next prime is 61848818459. The reversal of 61848818400 is 481884816.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61848818400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12882771 + ... + 12887570.

It is an arithmetic number, because the mean of its divisors is an integer number (2796082107).

Almost surely, 2^61848818400 is an apocalyptic number.

61848818400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61848818400 is an abundant number, since it is smaller than the sum of its proper divisors (139469093304).

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

61848818400 is a wasteful number, since it uses less digits than its factorization.

61848818400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25770364 (or 25770351 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 61848818400 in words is "sixty-one billion, eight hundred forty-eight million, eight hundred eighteen thousand, four hundred".