4636890714456 has 1536 divisors, whose sum is σ = 18035208576000. Its totient is φ = 1098368087040.

The previous prime is 4636890714439. The next prime is 4636890714473. The reversal of 4636890714456 is 6544170986364.

4636890714456 is a `hidden beast` number, since 4 + 6 + 36 + 8 + 90 + 71 + 445 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4636890714439) and next prime (4636890714473).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4636890714393 and 4636890714402.

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, 13362797275 + ... + 13362797621.

It is an arithmetic number, because the mean of its divisors is an integer number (11741672250).

Almost surely, 2^{4636890714456} 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 4636890714456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017604288000).

4636890714456 is an abundant number, since it is smaller than the sum of its proper divisors (13398317861544).

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

4636890714456 is a wasteful number, since it uses less digits than its factorization.

4636890714456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 4636890714456 in words is "four trillion, six hundred thirty-six billion, eight hundred ninety million, seven hundred fourteen thousand, four hundred fifty-six".