4248153504000 has 864 divisors, whose sum is σ = 17534331360000. Its totient is φ = 967421952000.

The previous prime is 4248153503983. The next prime is 4248153504011. The reversal of 4248153504000 is 4053518424.

It is a happy number.

4248153504000 is a `hidden beast` number, since 4 + 2 + 4 + 81 + 535 + 0 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 566492251 + ... + 566499749.

It is an arithmetic number, because the mean of its divisors is an integer number (20294365000).

Almost surely, 2^{4248153504000} is an apocalyptic number.

4248153504000 is a gapful number since it is divisible by the number (40) 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 4248153504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767165680000).

4248153504000 is an abundant number, since it is smaller than the sum of its proper divisors (13286177856000).

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

4248153504000 is a wasteful number, since it uses less digits than its factorization.

4248153504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7824 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 4248153504000 in words is "four trillion, two hundred forty-eight billion, one hundred fifty-three million, five hundred four thousand".