2248138368000 has 2816 divisors, whose sum is σ = 10284023193600. Its totient is φ = 472979865600.

The previous prime is 2248138367999. The next prime is 2248138368031. The reversal of 2248138368000 is 8638318422.

It is a super-2 number, since 2×2248138368000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30796415964 + ... + 30796416036.

Almost surely, 2^{2248138368000} is an apocalyptic number.

2248138368000 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 2248138368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142011596800).

2248138368000 is an abundant number, since it is smaller than the sum of its proper divisors (8035884825600).

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

2248138368000 is a wasteful number, since it uses less digits than its factorization.

2248138368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2248138368000 in words is "two trillion, two hundred forty-eight billion, one hundred thirty-eight million, three hundred sixty-eight thousand".