2458473147648 has 288 divisors, whose sum is σ = 8576757432320. Its totient is φ = 679761745920.

The previous prime is 2458473147607. The next prime is 2458473147673. The reversal of 2458473147648 is 8467413748542.

It is a happy number.

2458473147648 is a `hidden beast` number, since 2 + 4 + 58 + 4 + 73 + 1 + 476 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680361 + ... + 2319447.

Almost surely, 2^{2458473147648} is an apocalyptic number.

2458473147648 is a gapful number since it is divisible by the number (28) 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 2458473147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288378716160).

2458473147648 is an abundant number, since it is smaller than the sum of its proper divisors (6118284284672).

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

2458473147648 is a wasteful number, since it uses less digits than its factorization.

2458473147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639150 (or 1639130 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 2458473147648 in words is "two trillion, four hundred fifty-eight billion, four hundred seventy-three million, one hundred forty-seven thousand, six hundred forty-eight".