4248491151456 has 72 divisors (see below), whose sum is σ = 12391609237560. Its totient is φ = 1416143521728.

The previous prime is 4248491151427. The next prime is 4248491151461. The reversal of 4248491151456 is 6541511948424.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4248491151456 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 491 + 1 + 5 + 145 + 6 = 666.

4248491151456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 60551211 + ... + 60621333.

It is an arithmetic number, because the mean of its divisors is an integer number (172105683855).

Almost surely, 2^{4248491151456} is an apocalyptic number.

It is an amenable number.

4248491151456 is an abundant number, since it is smaller than the sum of its proper divisors (8143118086104).

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

4248491151456 is an frugal number, since it uses more digits than its factorization.

4248491151456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140265 (or 70128 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

Multiplying 4248491151456 by its sum of digits (54), we get a square (229418522178624 = 15146568²).

4248491151456 divided by its sum of digits (54) gives a square (78675762064 = 280492²).

The spelling of 4248491151456 in words is "four trillion, two hundred forty-eight billion, four hundred ninety-one million, one hundred fifty-one thousand, four hundred fifty-six".