4763863710144 has 504 divisors, whose sum is σ = 17788429369984. Its totient is φ = 1237363776000.

The previous prime is 4763863710131. The next prime is 4763863710157. The reversal of 4763863710144 is 4410173683674.

It is a happy number.

4763863710144 is a `hidden beast` number, since 476 + 3 + 8 + 63 + 7 + 101 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4763863710131) and next prime (4763863710157).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12991719 + ... + 13353369.

Almost surely, 2^{4763863710144} is an apocalyptic number.

4763863710144 is a gapful number since it is divisible by the number (44) 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 4763863710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8894214684992).

4763863710144 is an abundant number, since it is smaller than the sum of its proper divisors (13024565659840).

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

4763863710144 is a wasteful number, since it uses less digits than its factorization.

4763863710144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361707 (or 361674 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4763863710144 in words is "four trillion, seven hundred sixty-three billion, eight hundred sixty-three million, seven hundred ten thousand, one hundred forty-four".