8148951400 has 96 divisors (see below), whose sum is σ = 19927296000. Its totient is φ = 3094790400.

The previous prime is 8148951379. The next prime is 8148951403. The reversal of 8148951400 is 41598418.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8148951403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316201 + ... + 340999.

It is an arithmetic number, because the mean of its divisors is an integer number (207576000).

Almost surely, 2^8148951400 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 8148951400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963648000).

8148951400 is an abundant number, since it is smaller than the sum of its proper divisors (11778344600).

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

8148951400 is a wasteful number, since it uses less digits than its factorization.

8148951400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24899 (or 24890 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 8148951400 is about 90271.5425812587. The cubic root of 8148951400 is about 2012.3363672365.

The spelling of 8148951400 in words is "eight billion, one hundred forty-eight million, nine hundred fifty-one thousand, four hundred".