8138062464000 has 1408 divisors, whose sum is σ = 32228722606080. Its totient is φ = 1783627776000.

The previous prime is 8138062463983. The next prime is 8138062464001. The reversal of 8138062464000 is 4642608318.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8138062464001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10582655616 + ... + 10582656384.

It is an arithmetic number, because the mean of its divisors is an integer number (22889717760).

Almost surely, 2^{8138062464000} is an apocalyptic number.

8138062464000 is a gapful number since it is divisible by the number (80) 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 8138062464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114361303040).

8138062464000 is an abundant number, since it is smaller than the sum of its proper divisors (24090660142080).

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

8138062464000 is a wasteful number, since it uses less digits than its factorization.

8138062464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 8138062464000 in words is "eight trillion, one hundred thirty-eight billion, sixty-two million, four hundred sixty-four thousand".