8938191456 has 192 divisors, whose sum is σ = 27956275200. Its totient is φ = 2768283648.

The previous prime is 8938191443. The next prime is 8938191487. The reversal of 8938191456 is 6541918398.

It is a super-2 number, since 2×8938191456² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1156501 + ... + 1164203.

It is an arithmetic number, because the mean of its divisors is an integer number (145605600).

Almost surely, 2^8938191456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8938191456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13978137600).

8938191456 is an abundant number, since it is smaller than the sum of its proper divisors (19018083744).

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

8938191456 is a wasteful number, since it uses less digits than its factorization.

8938191456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7818 (or 7804 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 8938191456 is about 94542.0089484035. The cubic root of 8938191456 is about 2075.3111416912.

The spelling of 8938191456 in words is "eight billion, nine hundred thirty-eight million, one hundred ninety-one thousand, four hundred fifty-six".