87394462848 has 288 divisors, whose sum is σ = 315920666880. Its totient is φ = 22699607040.

The previous prime is 87394462829. The next prime is 87394462853. The reversal of 87394462848 is 84826449378.

87394462848 is a `hidden beast` number, since 8 + 7 + 3 + 94 + 462 + 84 + 8 = 666.

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

It is a super-3 number, since 3×87394462848³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 930961 + ... + 1020527.

It is an arithmetic number, because the mean of its divisors is an integer number (1096946760).

Almost surely, 2^87394462848 is an apocalyptic number.

87394462848 is a gapful number since it is divisible by the number (88) 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 87394462848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157960333440).

87394462848 is an abundant number, since it is smaller than the sum of its proper divisors (228526204032).

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

87394462848 is a wasteful number, since it uses less digits than its factorization.

87394462848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89616 (or 89590 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 87394462848 in words is "eighty-seven billion, three hundred ninety-four million, four hundred sixty-two thousand, eight hundred forty-eight".