611478874116 has 96 divisors (see below), whose sum is σ = 1729614028800. Its totient is φ = 185277468960.

The previous prime is 611478874051. The next prime is 611478874159.

611478874116 is a `hidden beast` number, since 6 + 1 + 147 + 8 + 87 + 411 + 6 = 666.

611478874116 is nontrivially palindromic in base 10.

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

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 31 ways as a sum of consecutive naturals, for example, 15070905 + ... + 15111423.

It is an arithmetic number, because the mean of its divisors is an integer number (18016812800).

Almost surely, 2^611478874116 is an apocalyptic number.

611478874116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

611478874116 is an abundant number, since it is smaller than the sum of its proper divisors (1118135154684).

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

611478874116 is a wasteful number, since it uses less digits than its factorization.

611478874116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53246 (or 53238 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The spelling of 611478874116 in words is "six hundred eleven billion, four hundred seventy-eight million, eight hundred seventy-four thousand, one hundred sixteen".