9951148350 has 384 divisors, whose sum is σ = 33922828800. Its totient is φ = 2108851200.

The previous prime is 9951148307. The next prime is 9951148379. The reversal of 9951148350 is 538411599.

9951148350 is a `hidden beast` number, since 9 + 9 + 511 + 4 + 83 + 50 = 666.

9951148350 is a nontrivial binomial coefficient, being equal to C(141076, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 9951148296 and 9951148305.

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, 3666594 + ... + 3669306.

It is an arithmetic number, because the mean of its divisors is an integer number (88340700).

Almost surely, 2^9951148350 is an apocalyptic number.

9951148350 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9951148350 is the 141075-th triangular number and also the 70538-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9951148350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16961414400).

9951148350 is an abundant number, since it is smaller than the sum of its proper divisors (23971680450).

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

9951148350 is a wasteful number, since it uses less digits than its factorization.

9951148350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 9951148350 is about 99755.4427086563. The cubic root of 9951148350 is about 2150.9207053589.

The spelling of 9951148350 in words is "nine billion, nine hundred fifty-one million, one hundred forty-eight thousand, three hundred fifty".