4806692352000 has 4992 divisors, whose sum is σ = 24494429306880. Its totient is φ = 875888640000.

The previous prime is 4806692351999. The next prime is 4806692352029. The reversal of 4806692352000 is 2532966084.

4806692352000 is a `hidden beast` number, since 48 + 0 + 6 + 69 + 23 + 520 + 0 + 0 = 666.

It is a super-3 number, since 3×4806692352000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 155054591985 + ... + 155054592015.

It is an arithmetic number, because the mean of its divisors is an integer number (4906736640).

Almost surely, 2^{4806692352000} is an apocalyptic number.

4806692352000 is a gapful number since it is divisible by the number (40) 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 4806692352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247214653440).

4806692352000 is an abundant number, since it is smaller than the sum of its proper divisors (19687736954880).

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

4806692352000 is a wasteful number, since it uses less digits than its factorization.

4806692352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4806692352000 in words is "four trillion, eight hundred six billion, six hundred ninety-two million, three hundred fifty-two thousand".