2503848968901 has 288 divisors, whose sum is σ = 4573111495680. Its totient is φ = 1312246656000.

The previous prime is 2503848968849. The next prime is 2503848968909. The reversal of 2503848968901 is 1098698483052.

2503848968901 is a `hidden beast` number, since 2 + 5 + 0 + 3 + 8 + 489 + 68 + 90 + 1 = 666.

It is not a de Polignac number, because 2503848968901 - 2⁷ = 2503848968773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503848968909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11866582686 + ... + 11866582896.

It is an arithmetic number, because the mean of its divisors is an integer number (15878859360).

Almost surely, 2^{2503848968901} is an apocalyptic number.

2503848968901 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2503848968901 is a deficient number, since it is larger than the sum of its proper divisors (2069262526779).

2503848968901 is a wasteful number, since it uses less digits than its factorization.

2503848968901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 2503848968901 in words is "two trillion, five hundred three billion, eight hundred forty-eight million, nine hundred sixty-eight thousand, nine hundred one".