61466890914 has 288 divisors, whose sum is σ = 169012876032. Its totient is φ = 15995232000.

The previous prime is 61466890907. The next prime is 61466890921. The reversal of 61466890914 is 41909866416.

It is a happy number.

61466890914 is a `hidden beast` number, since 6 + 1 + 466 + 8 + 90 + 91 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (61466890907) and next prime (61466890921).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24093939 + ... + 24096489.

It is an arithmetic number, because the mean of its divisors is an integer number (586850264).

Almost surely, 2^61466890914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61466890914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84506438016).

61466890914 is an abundant number, since it is smaller than the sum of its proper divisors (107545985118).

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

61466890914 is a wasteful number, since it uses less digits than its factorization.

61466890914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 61466890914 in words is "sixty-one billion, four hundred sixty-six million, eight hundred ninety thousand, nine hundred fourteen".