61382458368000 has 3360 divisors, whose sum is σ = 290633876346528. Its totient is φ = 12745506816000.

The previous prime is 61382458367987. The next prime is 61382458368019. The reversal of 61382458368000 is 86385428316.

61382458368000 is a `hidden beast` number, since 6 + 1 + 3 + 82 + 458 + 36 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44706815314 + ... + 44706816686.

Almost surely, 2^{61382458368000} is an apocalyptic number.

61382458368000 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 61382458368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145316938173264).

61382458368000 is an abundant number, since it is smaller than the sum of its proper divisors (229251417978528).

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

61382458368000 is a wasteful number, since it uses less digits than its factorization.

61382458368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 61382458368000 in words is "sixty-one trillion, three hundred eighty-two billion, four hundred fifty-eight million, three hundred sixty-eight thousand".