4645149120 has 672 divisors, whose sum is σ = 17893564416. Its totient is φ = 1144627200.

The previous prime is 4645149107. The next prime is 4645149133. The reversal of 4645149120 is 219415464.

4645149120 is a `hidden beast` number, since 4 + 645 + 1 + 4 + 9 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4645149107) and next prime (4645149133).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98832937 + ... + 98832983.

It is an arithmetic number, because the mean of its divisors is an integer number (26627328).

Almost surely, 2^4645149120 is an apocalyptic number.

4645149120 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 4645149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946782208).

4645149120 is an abundant number, since it is smaller than the sum of its proper divisors (13248415296).

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

4645149120 is a wasteful number, since it uses less digits than its factorization.

4645149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4645149120 is about 68155.3308259890. The cubic root of 4645149120 is about 1668.5269283944.

The spelling of 4645149120 in words is "four billion, six hundred forty-five million, one hundred forty-nine thousand, one hundred twenty".