783214617952 has 96 divisors (see below), whose sum is σ = 1685446963200. Its totient is φ = 356088365568.

The previous prime is 783214617917. The next prime is 783214617959. The reversal of 783214617952 is 259716412387.

783214617952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×783214617952² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 783214617893 and 783214617902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (783214617959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14400153 + ... + 14454439.

It is an arithmetic number, because the mean of its divisors is an integer number (17556739200).

Almost surely, 2^783214617952 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 783214617952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842723481600).

783214617952 is an abundant number, since it is smaller than the sum of its proper divisors (902232345248).

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

783214617952 is a wasteful number, since it uses less digits than its factorization.

783214617952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54828 (or 54820 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 55.

The spelling of 783214617952 in words is "seven hundred eighty-three billion, two hundred fourteen million, six hundred seventeen thousand, nine hundred fifty-two".