2338061544000 has 1792 divisors, whose sum is σ = 11180282480640. Its totient is φ = 464220979200.

The previous prime is 2338061543977. The next prime is 2338061544001. The reversal of 2338061544000 is 4451608332.

2338061544000 is a `hidden beast` number, since 2 + 3 + 38 + 0 + 615 + 4 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2338061544001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 334148502 + ... + 334155498.

It is an arithmetic number, because the mean of its divisors is an integer number (6238996920).

Almost surely, 2^{2338061544000} is an apocalyptic number.

2338061544000 is a gapful number since it is divisible by the number (20) 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 2338061544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590141240320).

2338061544000 is an abundant number, since it is smaller than the sum of its proper divisors (8842220936640).

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

2338061544000 is a wasteful number, since it uses less digits than its factorization.

2338061544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2338061544000 in words is "two trillion, three hundred thirty-eight billion, sixty-one million, five hundred forty-four thousand".