981349950 has 288 divisors, whose sum is σ = 3012664320. Its totient is φ = 210470400.

The previous prime is 981349933. The next prime is 981349987. The reversal of 981349950 is 59943189.

It is a self number, because there is not a number n which added to its sum of digits gives 981349950.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 13443114 + ... + 13443186.

It is an arithmetic number, because the mean of its divisors is an integer number (10460640).

Almost surely, 2^981349950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981349950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506332160).

981349950 is an abundant number, since it is smaller than the sum of its proper divisors (2031314370).

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

981349950 is a wasteful number, since it uses less digits than its factorization.

981349950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 981349950 is about 31326.5055504121. The cubic root of 981349950 is about 993.7442640387.

The spelling of 981349950 in words is "nine hundred eighty-one million, three hundred forty-nine thousand, nine hundred fifty".