61404311146266 has 96 divisors (see below), whose sum is σ = 150576116640768. Its totient is φ = 18599554776240.

The previous prime is 61404311146193. The next prime is 61404311146267. The reversal of 61404311146266 is 66264111340416.

61404311146266 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 4 + 3 + 1 + 1 + 14 + 626 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (61404311146267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10329525 + ... + 15149511.

It is an arithmetic number, because the mean of its divisors is an integer number (1568501215008).

Almost surely, 2^{61404311146266} is an apocalyptic number.

61404311146266 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61404311146266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75288058320384).

61404311146266 is an abundant number, since it is smaller than the sum of its proper divisors (89171805494502).

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

61404311146266 is a wasteful number, since it uses less digits than its factorization.

61404311146266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822398 (or 4822386 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 61404311146266 in words is "sixty-one trillion, four hundred four billion, three hundred eleven million, one hundred forty-six thousand, two hundred sixty-six".