4892526144 has 672 divisors, whose sum is σ = 17837383680. Its totient is φ = 1300147200.

The previous prime is 4892526139. The next prime is 4892526151. The reversal of 4892526144 is 4416252984.

It is a happy number.

4892526144 is a `hidden beast` number, since 4 + 8 + 9 + 25 + 2 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4892526144.

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, 157823409 + ... + 157823439.

Almost surely, 2^4892526144 is an apocalyptic number.

4892526144 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 4892526144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918691840).

4892526144 is an abundant number, since it is smaller than the sum of its proper divisors (12944857536).

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

4892526144 is a wasteful number, since it uses less digits than its factorization.

4892526144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 4892526144 is about 69946.5949421414. The cubic root of 4892526144 is about 1697.6352523487.

The spelling of 4892526144 in words is "four billion, eight hundred ninety-two million, five hundred twenty-six thousand, one hundred forty-four".