616111941254400 has 2160 divisors, whose sum is σ = 2443366090186560. Its totient is φ = 152884769587200.

The previous prime is 616111941254377. The next prime is 616111941254413. The reversal of 616111941254400 is 4452149111616.

616111941254400 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 1 + 1 + 94 + 12 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 51159334779 + ... + 51159346821.

It is an arithmetic number, because the mean of its divisors is an integer number (1131188004716).

Almost surely, 2^{616111941254400} is an apocalyptic number.

616111941254400 is a gapful number since it is divisible by the number (60) 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 616111941254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221683045093280).

616111941254400 is an abundant number, since it is smaller than the sum of its proper divisors (1827254148932160).

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

616111941254400 is a wasteful number, since it uses less digits than its factorization.

616111941254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 616111941254400 in words is "six hundred sixteen trillion, one hundred eleven billion, nine hundred forty-one million, two hundred fifty-four thousand, four hundred".