9149048640000 has 1200 divisors, whose sum is σ = 33867696417984. Its totient is φ = 2376192000000.

The previous prime is 9149048639999. The next prime is 9149048640001. The reversal of 9149048640000 is 468409419.

9149048640000 is a `hidden beast` number, since 91 + 49 + 0 + 486 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9149048639999) and next prime (9149048640001).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (9149048640001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20652479779 + ... + 20652480221.

Almost surely, 2^{9149048640000} is an apocalyptic number.

9149048640000 is a gapful number since it is divisible by the number (90) 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 9149048640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16933848208992).

9149048640000 is an abundant number, since it is smaller than the sum of its proper divisors (24718647777984).

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

9149048640000 is a wasteful number, since it uses less digits than its factorization.

9149048640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 9149048640000 in words is "nine trillion, one hundred forty-nine billion, forty-eight million, six hundred forty thousand".