7148894400 has 1008 divisors, whose sum is σ = 29848759200. Its totient is φ = 1610219520.

The previous prime is 7148894377. The next prime is 7148894411. The reversal of 7148894400 is 44988417.

It is a super-2 number, since 2×7148894400² (a number of 21 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 143 ways as a sum of consecutive naturals, for example, 134884774 + ... + 134884826.

Almost surely, 2^7148894400 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 7148894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14924379600).

7148894400 is an abundant number, since it is smaller than the sum of its proper divisors (22699864800).

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

7148894400 is a wasteful number, since it uses less digits than its factorization.

7148894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7148894400 is about 84551.1348238449. The cubic root of 7148894400 is about 1926.3992210808.

The spelling of 7148894400 in words is "seven billion, one hundred forty-eight million, eight hundred ninety-four thousand, four hundred".