514270770048 has 192 divisors, whose sum is σ = 1691724060000. Its totient is φ = 146895704064.

The previous prime is 514270770047. The next prime is 514270770061. The reversal of 514270770048 is 840077072415.

514270770048 is a `hidden beast` number, since 514 + 27 + 0 + 7 + 70 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 514270769985 and 514270770012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514270770047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46354390 + ... + 46365482.

Almost surely, 2^514270770048 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 514270770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845862030000).

514270770048 is an abundant number, since it is smaller than the sum of its proper divisors (1177453289952).

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

514270770048 is a wasteful number, since it uses less digits than its factorization.

514270770048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16869 (or 16854 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 514270770048 in words is "five hundred fourteen billion, two hundred seventy million, seven hundred seventy thousand, forty-eight".