114769207552 has 288 divisors, whose sum is σ = 262730200320. Its totient is φ = 49710366720.

The previous prime is 114769207529. The next prime is 114769207561. The reversal of 114769207552 is 255702967411.

It is a happy number.

It is a super-2 number, since 2×114769207552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114769207496 and 114769207505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663405738 + ... + 663405910.

It is an arithmetic number, because the mean of its divisors is an integer number (912257640).

Almost surely, 2^114769207552 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 114769207552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131365100160).

114769207552 is an abundant number, since it is smaller than the sum of its proper divisors (147960992768).

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

114769207552 is a wasteful number, since it uses less digits than its factorization.

114769207552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 114769207552 in words is "one hundred fourteen billion, seven hundred sixty-nine million, two hundred seven thousand, five hundred fifty-two".