61386966144 has 768 divisors, whose sum is σ = 222029683200. Its totient is φ = 15895756800.

The previous prime is 61386966143. The next prime is 61386966203. The reversal of 61386966144 is 44166968316.

61386966144 is a `hidden beast` number, since 6 + 13 + 8 + 6 + 9 + 6 + 614 + 4 = 666.

It is a super-2 number, since 2×61386966144² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61386966143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 543247432 + ... + 543247544.

It is an arithmetic number, because the mean of its divisors is an integer number (289101150).

Almost surely, 2^61386966144 is an apocalyptic number.

61386966144 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 61386966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111014841600).

61386966144 is an abundant number, since it is smaller than the sum of its proper divisors (160642717056).

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

61386966144 is a wasteful number, since it uses less digits than its factorization.

61386966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 61386966144 in words is "sixty-one billion, three hundred eighty-six million, nine hundred sixty-six thousand, one hundred forty-four".