61100287248 has 1280 divisors, whose sum is σ = 245744271360. Its totient is φ = 12541132800.

The previous prime is 61100287243. The next prime is 61100287249. The reversal of 61100287248 is 84278200116.

It is a happy number.

It is a super-2 number, since 2×61100287248² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (61100287243) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 481104561 + ... + 481104687.

It is an arithmetic number, because the mean of its divisors is an integer number (191987712).

Almost surely, 2^61100287248 is an apocalyptic number.

61100287248 is a gapful number since it is divisible by the number (68) 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 61100287248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122872135680).

61100287248 is an abundant number, since it is smaller than the sum of its proper divisors (184643984112).

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

61100287248 is a wasteful number, since it uses less digits than its factorization.

61100287248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 61100287248 in words is "sixty-one billion, one hundred million, two hundred eighty-seven thousand, two hundred forty-eight".