5114594631168 has 1280 divisors, whose sum is σ = 17717037465600. Its totient is φ = 1441664040960.

The previous prime is 5114594631131. The next prime is 5114594631221. The reversal of 5114594631168 is 8611364954115.

5114594631168 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 594 + 6 + 31 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29564130730 + ... + 29564130902.

It is an arithmetic number, because the mean of its divisors is an integer number (13841435520).

Almost surely, 2^{5114594631168} 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 5114594631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858518732800).

5114594631168 is an abundant number, since it is smaller than the sum of its proper divisors (12602442834432).

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

5114594631168 is a wasteful number, since it uses less digits than its factorization.

5114594631168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 398 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 5114594631168 in words is "five trillion, one hundred fourteen billion, five hundred ninety-four million, six hundred thirty-one thousand, one hundred sixty-eight".