754563465216 has 900 divisors, whose sum is σ = 2564881225984. Its totient is φ = 220723937280.

The previous prime is 754563465203. The next prime is 754563465223. The reversal of 754563465216 is 612564365457.

754563465216 is a `hidden beast` number, since 7 + 5 + 4 + 563 + 4 + 65 + 2 + 16 = 666.

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

Its product of digits (18144000) is a multiple of the sum of its prime divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5941444545 + ... + 5941444671.

Almost surely, 2^754563465216 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 754563465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282440612992).

754563465216 is an abundant number, since it is smaller than the sum of its proper divisors (1810317760768).

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

754563465216 is a wasteful number, since it uses less digits than its factorization.

754563465216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 180 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 754563465216 in words is "seven hundred fifty-four billion, five hundred sixty-three million, four hundred sixty-five thousand, two hundred sixteen".