1009148013384 has 512 divisors, whose sum is σ = 3213450240000. Its totient is φ = 263034584064.

The previous prime is 1009148013361. The next prime is 1009148013427. The reversal of 1009148013384 is 4833108419001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 596070042 + ... + 596071734.

It is an arithmetic number, because the mean of its divisors is an integer number (6276270000).

Almost surely, 2^{1009148013384} is an apocalyptic number.

1009148013384 is a gapful number since it is divisible by the number (14) 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 1009148013384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606725120000).

1009148013384 is an abundant number, since it is smaller than the sum of its proper divisors (2204302226616).

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

1009148013384 is a wasteful number, since it uses less digits than its factorization.

1009148013384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 1009148013384 in words is "one trillion, nine billion, one hundred forty-eight million, thirteen thousand, three hundred eighty-four".