5414761872 has 200 divisors, whose sum is σ = 16937025336. Its totient is φ = 1660207104.

The previous prime is 5414761829. The next prime is 5414761879. The reversal of 5414761872 is 2781674145.

5414761872 is a `hidden beast` number, since 541 + 47 + 61 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 491774976 + 4922986896 = 22176^2 + 70164^2 .

It is a super-2 number, since 2×5414761872² = 58639292260929888768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414761879) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9384048 + ... + 9384624.

Almost surely, 2^5414761872 is an apocalyptic number.

5414761872 is a gapful number since it is divisible by the number (52) 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 5414761872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468512668).

5414761872 is an abundant number, since it is smaller than the sum of its proper divisors (11522263464).

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

5414761872 is a wasteful number, since it uses less digits than its factorization.

5414761872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1152 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 5414761872 is about 73585.0655500150. The cubic root of 5414761872 is about 1756.0078541513.

The spelling of 5414761872 in words is "five billion, four hundred fourteen million, seven hundred sixty-one thousand, eight hundred seventy-two".