61143337005696 has 2560 divisors, whose sum is σ = 222016379397120. Its totient is φ = 16495318794240.

The previous prime is 61143337005689. The next prime is 61143337005701. The reversal of 61143337005696 is 69650073334116.

61143337005696 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 3 + 3 + 3 + 70 + 0 + 569 + 6 = 666.

It is a super-2 number, since 2×61143337005696² (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 an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 571433056075 + ... + 571433056181.

It is an arithmetic number, because the mean of its divisors is an integer number (86725148202).

Almost surely, 2^{61143337005696} is an apocalyptic number.

61143337005696 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 61143337005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111008189698560).

61143337005696 is an abundant number, since it is smaller than the sum of its proper divisors (160873042391424).

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

61143337005696 is a wasteful number, since it uses less digits than its factorization.

61143337005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 61143337005696 in words is "sixty-one trillion, one hundred forty-three billion, three hundred thirty-seven million, five thousand, six hundred ninety-six".