83947248000 has 1536 divisors, whose sum is σ = 384851450880. Its totient is φ = 17031168000.

The previous prime is 83947247999. The next prime is 83947248013. The reversal of 83947248000 is 84274938.

83947248000 is a `hidden beast` number, since 83 + 94 + 7 + 2 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 742895944 + ... + 742896056.

It is an arithmetic number, because the mean of its divisors is an integer number (250554330).

Almost surely, 2^83947248000 is an apocalyptic number.

83947248000 is a gapful number since it is divisible by the number (80) 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 83947248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192425725440).

83947248000 is an abundant number, since it is smaller than the sum of its proper divisors (300904202880).

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

83947248000 is a wasteful number, since it uses less digits than its factorization.

83947248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 83947248000 in words is "eighty-three billion, nine hundred forty-seven million, two hundred forty-eight thousand".