5149148400 has 480 divisors, whose sum is σ = 20259417600. Its totient is φ = 1231718400.

The previous prime is 5149148399. The next prime is 5149148413. The reversal of 5149148400 is 48419415.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10572957 + ... + 10573443.

It is an arithmetic number, because the mean of its divisors is an integer number (42207120).

Almost surely, 2^5149148400 is an apocalyptic number.

5149148400 is a gapful number since it is divisible by the number (50) 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 5149148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10129708800).

5149148400 is an abundant number, since it is smaller than the sum of its proper divisors (15110269200).

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

5149148400 is a wasteful number, since it uses less digits than its factorization.

5149148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5149148400 is about 71757.5668483819. The cubic root of 5149148400 is about 1726.8123107933.

The spelling of 5149148400 in words is "five billion, one hundred forty-nine million, one hundred forty-eight thousand, four hundred".