5462118144 has 288 divisors, whose sum is σ = 18706688000. Its totient is φ = 1539772416.

The previous prime is 5462118143. The next prime is 5462118163. The reversal of 5462118144 is 4418112645.

5462118144 is a `hidden beast` number, since 5 + 4 + 621 + 18 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 5462118099 and 5462118108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462118143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3821622 + ... + 3823050.

Almost surely, 2^5462118144 is an apocalyptic number.

5462118144 is a gapful number since it is divisible by the number (54) 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 5462118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9353344000).

5462118144 is an abundant number, since it is smaller than the sum of its proper divisors (13244569856).

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

5462118144 is a wasteful number, since it uses less digits than its factorization.

5462118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1520 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 5462118144 is about 73906.1441559496. The cubic root of 5462118144 is about 1761.1122171060.

The spelling of 5462118144 in words is "five billion, four hundred sixty-two million, one hundred eighteen thousand, one hundred forty-four".