514045267481088 has 480 divisors, whose sum is σ = 1821168677328000. Its totient is φ = 139140064272384.

The previous prime is 514045267481077. The next prime is 514045267481093. The reversal of 514045267481088 is 880184762540415.

514045267481088 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 452 + 6 + 74 + 8 + 108 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21471570 + ... + 38589102.

It is an arithmetic number, because the mean of its divisors is an integer number (3794101411100).

Almost surely, 2^{514045267481088} 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 514045267481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910584338664000).

514045267481088 is an abundant number, since it is smaller than the sum of its proper divisors (1307123409846912).

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

514045267481088 is a wasteful number, since it uses less digits than its factorization.

514045267481088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17117597 (or 17117564 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 514045267481088 in words is "five hundred fourteen trillion, forty-five billion, two hundred sixty-seven million, four hundred eighty-one thousand, eighty-eight".