61848032379904 has 99 divisors (see below), whose sum is σ = 126039610114327. Its totient is φ = 30334001045504.

The previous prime is 61848032379901. The next prime is 61848032379907. The reversal of 61848032379904 is 40997323084816.

The square root of 61848032379904 is 7864352.

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

It is an interprime number because it is at equal distance from previous prime (61848032379901) and next prime (61848032379907).

It can be written as a sum of positive squares in 4 ways, for example, as 60886549504 + 61787145830400 = 246752^2 + 7860480^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61848032379901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13337938674 + ... + 13337943310.

Almost surely, 2^{61848032379904} is an apocalyptic number.

61848032379904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61848032379904 is the 7864352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61848032379904

61848032379904 is an abundant number, since it is smaller than the sum of its proper divisors (64191577734423).

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

61848032379904 is an frugal number, since it uses more digits than its factorization.

61848032379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9400 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

61848032379904 divided by its sum of digits (64) gives a square (966375505936 = 983044²).

The spelling of 61848032379904 in words is "sixty-one trillion, eight hundred forty-eight billion, thirty-two million, three hundred seventy-nine thousand, nine hundred four".