4981319110152 has 1280 divisors, whose sum is σ = 19031189760000. Its totient is φ = 1177925898240.

The previous prime is 4981319110127. The next prime is 4981319110153. The reversal of 4981319110152 is 2510119131894.

4981319110152 is a `hidden beast` number, since 498 + 1 + 3 + 1 + 9 + 1 + 1 + 0 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4981319110098 and 4981319110107.

It is not an unprimeable number, because it can be changed into a prime (4981319110153) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11244512443 + ... + 11244512885.

It is an arithmetic number, because the mean of its divisors is an integer number (14868117000).

Almost surely, 2^{4981319110152} is an apocalyptic number.

4981319110152 is a gapful number since it is divisible by the number (42) 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 4981319110152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9515594880000).

4981319110152 is an abundant number, since it is smaller than the sum of its proper divisors (14049870649848).

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

4981319110152 is a wasteful number, since it uses less digits than its factorization.

4981319110152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 4981319110152 in words is "four trillion, nine hundred eighty-one billion, three hundred nineteen million, one hundred ten thousand, one hundred fifty-two".