186874401450000 has 960 divisors, whose sum is σ = 703392797479680. Its totient is φ = 42246144000000.

The previous prime is 186874401449999. The next prime is 186874401450031. The reversal of 186874401450000 is 54104478681.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3057419440 + ... + 3057480560.

It is an arithmetic number, because the mean of its divisors is an integer number (732700830708).

Almost surely, 2^{186874401450000} is an apocalyptic number.

186874401450000 is a gapful number since it is divisible by the number (10) 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 186874401450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351696398739840).

186874401450000 is an abundant number, since it is smaller than the sum of its proper divisors (516518396029680).

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

186874401450000 is a wasteful number, since it uses less digits than its factorization.

186874401450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61294 (or 61268 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 186874401450000 in words is "one hundred eighty-six trillion, eight hundred seventy-four billion, four hundred one million, four hundred fifty thousand".