11148949350 has 576 divisors, whose sum is σ = 41064371712. Its totient is φ = 2177280000.

The previous prime is 11148949327. The next prime is 11148949363. The reversal of 11148949350 is 5394984111.

11148949350 is a `hidden beast` number, since 11 + 148 + 9 + 493 + 5 + 0 = 666.

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 = 11148949296 and 11148949305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15904000 + ... + 15904700.

It is an arithmetic number, because the mean of its divisors is an integer number (71292312).

Almost surely, 2^11148949350 is an apocalyptic number.

11148949350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11148949350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20532185856).

11148949350 is an abundant number, since it is smaller than the sum of its proper divisors (29915422362).

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

11148949350 is a wasteful number, since it uses less digits than its factorization.

11148949350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11148949350 in words is "eleven billion, one hundred forty-eight million, nine hundred forty-nine thousand, three hundred fifty".