514782972648 has 288 divisors, whose sum is σ = 1738900094400. Its totient is φ = 140684499648.

The previous prime is 514782972643. The next prime is 514782972689. The reversal of 514782972648 is 846279287415.

It is a happy number.

514782972648 is a `hidden beast` number, since 5 + 14 + 78 + 297 + 264 + 8 = 666.

It is a super-2 number, since 2×514782972648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (514782972643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5552965 + ... + 5644907.

It is an arithmetic number, because the mean of its divisors is an integer number (6037847550).

Almost surely, 2^514782972648 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 514782972648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869450047200).

514782972648 is an abundant number, since it is smaller than the sum of its proper divisors (1224117121752).

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

514782972648 is a wasteful number, since it uses less digits than its factorization.

514782972648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92018 (or 91978 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 514782972648 in words is "five hundred fourteen billion, seven hundred eighty-two million, nine hundred seventy-two thousand, six hundred forty-eight".