61245081222336 has 560 divisors, whose sum is σ = 211628617310880. Its totient is φ = 17307121582080.

The previous prime is 61245081222233. The next prime is 61245081222383. The reversal of 61245081222336 is 63322218054216.

61245081222336 is a `hidden beast` number, since 6 + 12 + 4 + 5 + 0 + 81 + 222 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61245081222291 and 61245081222300.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105375666 + ... + 105955278.

It is an arithmetic number, because the mean of its divisors is an integer number (377908245198).

Almost surely, 2^{61245081222336} is an apocalyptic number.

61245081222336 is a gapful number since it is divisible by the number (66) 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 61245081222336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105814308655440).

61245081222336 is an abundant number, since it is smaller than the sum of its proper divisors (150383536088544).

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

61245081222336 is a wasteful number, since it uses less digits than its factorization.

61245081222336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579774 (or 579755 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 61245081222336 in words is "sixty-one trillion, two hundred forty-five billion, eighty-one million, two hundred twenty-two thousand, three hundred thirty-six".