61841776121334 has 512 divisors, whose sum is σ = 157803612733440. Its totient is φ = 17931125520000.

The previous prime is 61841776121329. The next prime is 61841776121339. The reversal of 61841776121334 is 43312167714816.

61841776121334 is a `hidden beast` number, since 6 + 1 + 8 + 4 + 1 + 7 + 7 + 612 + 13 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (61841776121329) and next prime (61841776121339).

It is a super-2 number, since 2×61841776121334² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61841776121339) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 133567550787 + ... + 133567551249.

It is an arithmetic number, because the mean of its divisors is an integer number (308210181120).

Almost surely, 2^{61841776121334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61841776121334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78901806366720).

61841776121334 is an abundant number, since it is smaller than the sum of its proper divisors (95961836612106).

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

61841776121334 is a wasteful number, since it uses less digits than its factorization.

61841776121334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1058 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 61841776121334 in words is "sixty-one trillion, eight hundred forty-one billion, seven hundred seventy-six million, one hundred twenty-one thousand, three hundred thirty-four".