345989778552 has 192 divisors, whose sum is σ = 1053317865600. Its totient is φ = 101676798720.

The previous prime is 345989778473. The next prime is 345989778581. The reversal of 345989778552 is 255877989543.

345989778552 is a `hidden beast` number, since 3 + 459 + 8 + 97 + 7 + 85 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 8977099 + ... + 9015557.

It is an arithmetic number, because the mean of its divisors is an integer number (5486030550).

Almost surely, 2^345989778552 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 345989778552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526658932800).

345989778552 is an abundant number, since it is smaller than the sum of its proper divisors (707328087048).

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

345989778552 is a wasteful number, since it uses less digits than its factorization.

345989778552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38826 (or 38819 counting only the distinct ones).

The product of its digits is 762048000, while the sum is 72.

The spelling of 345989778552 in words is "three hundred forty-five billion, nine hundred eighty-nine million, seven hundred seventy-eight thousand, five hundred fifty-two".