5514606400 has 84 divisors (see below), whose sum is σ = 13586917708. Its totient is φ = 2202992640.

The previous prime is 5514606373. The next prime is 5514606401. The reversal of 5514606400 is 46064155.

It can be written as a sum of positive squares in 6 ways, for example, as 400640256 + 5113966144 = 20016^2 + 71512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5514606401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1593472 + ... + 1596928.

Almost surely, 2^5514606400 is an apocalyptic number.

5514606400 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 5514606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793458854).

5514606400 is an abundant number, since it is smaller than the sum of its proper divisors (8072311308).

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

5514606400 is a wasteful number, since it uses less digits than its factorization.

5514606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 5514606400 is about 74260.3959052199. The cubic root of 5514606400 is about 1766.7353827945.

The spelling of 5514606400 in words is "five billion, five hundred fourteen million, six hundred six thousand, four hundred".