5345512704 has 270 divisors, whose sum is σ = 18545219154. Its totient is φ = 1526999040.

The previous prime is 5345512703. The next prime is 5345512721. The reversal of 5345512704 is 4072155435.

5345512704 is a `hidden beast` number, since 5 + 34 + 551 + 2 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4978713600 + 366799104 = 70560^2 + 19152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345512703) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1013434 + ... + 1018694.

Almost surely, 2^5345512704 is an apocalyptic number.

5345512704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5345512704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9272609577).

5345512704 is an abundant number, since it is smaller than the sum of its proper divisors (13199706450).

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

5345512704 is an equidigital number, since it uses as much as digits as its factorization.

5345512704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5345512704 is about 73113.0132329396. The cubic root of 5345512704 is about 1748.4898759131.

The spelling of 5345512704 in words is "five billion, three hundred forty-five million, five hundred twelve thousand, seven hundred four".