5418461952 has 360 divisors, whose sum is σ = 18029919600. Its totient is φ = 1608450048.

The previous prime is 5418461947. The next prime is 5418461957. The reversal of 5418461952 is 2591648145.

5418461952 is a `hidden beast` number, since 5 + 418 + 46 + 195 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5418461947) and next prime (5418461957).

It is a junction number, because it is equal to n+sod(n) for n = 5418461898 and 5418461907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5418461957) 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, 6697324 + ... + 6698132.

It is an arithmetic number, because the mean of its divisors is an integer number (50083110).

Almost surely, 2^5418461952 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 5418461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9014959800).

5418461952 is an abundant number, since it is smaller than the sum of its proper divisors (12611457648).

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

5418461952 is a wasteful number, since it uses less digits than its factorization.

5418461952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 850 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 5418461952 is about 73610.2027710833. The cubic root of 5418461952 is about 1756.4077418597.

The spelling of 5418461952 in words is "five billion, four hundred eighteen million, four hundred sixty-one thousand, nine hundred fifty-two".