61229481984 has 240 divisors, whose sum is σ = 197923165440. Its totient is φ = 18552913920.

The previous prime is 61229481983. The next prime is 61229481997. The reversal of 61229481984 is 48918492216.

It is a happy number.

61229481984 is a `hidden beast` number, since 61 + 2 + 29 + 481 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61229481984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61229481983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4859757 + ... + 4872339.

It is an arithmetic number, because the mean of its divisors is an integer number (824679856).

Almost surely, 2^61229481984 is an apocalyptic number.

61229481984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61229481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98961582720).

61229481984 is an abundant number, since it is smaller than the sum of its proper divisors (136693683456).

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

61229481984 is a wasteful number, since it uses less digits than its factorization.

61229481984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12631 (or 12599 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 61229481984 in words is "sixty-one billion, two hundred twenty-nine million, four hundred eighty-one thousand, nine hundred eighty-four".