4993721136144 has 800 divisors, whose sum is σ = 16267257578880. Its totient is φ = 1477686592512.

The previous prime is 4993721136143. The next prime is 4993721136149. The reversal of 4993721136144 is 4416311273994.

It is a happy number.

4993721136144 is a `hidden beast` number, since 4 + 9 + 9 + 3 + 7 + 2 + 1 + 13 + 614 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4993721136143) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11272507987 + ... + 11272508429.

Almost surely, 2^{4993721136144} 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 4993721136144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133628789440).

4993721136144 is an abundant number, since it is smaller than the sum of its proper divisors (11273536442736).

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

4993721136144 is a wasteful number, since it uses less digits than its factorization.

4993721136144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 605 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 4993721136144 in words is "four trillion, nine hundred ninety-three billion, seven hundred twenty-one million, one hundred thirty-six thousand, one hundred forty-four".