5146872192 has 576 divisors, whose sum is σ = 19554575040. Its totient is φ = 1332495360.

The previous prime is 5146872131. The next prime is 5146872221. The reversal of 5146872192 is 2912786415.

5146872192 is a `hidden beast` number, since 514 + 68 + 72 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16764903 + ... + 16765209.

It is an arithmetic number, because the mean of its divisors is an integer number (33948915).

Almost surely, 2^5146872192 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 5146872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9777287520).

5146872192 is an abundant number, since it is smaller than the sum of its proper divisors (14407702848).

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

5146872192 is a wasteful number, since it uses less digits than its factorization.

5146872192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 330 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5146872192 is about 71741.7046912045. The cubic root of 5146872192 is about 1726.5578244840.

The spelling of 5146872192 in words is "five billion, one hundred forty-six million, eight hundred seventy-two thousand, one hundred ninety-two".