1013455148160 has 1536 divisors, whose sum is σ = 4320575078400. Its totient is φ = 196214980608.

The previous prime is 1013455148137. The next prime is 1013455148207. The reversal of 1013455148160 is 618415543101.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 191 ways as a sum of consecutive naturals, for example, 4544641809 + ... + 4544642031.

It is an arithmetic number, because the mean of its divisors is an integer number (2812874400).

Almost surely, 2^{1013455148160} is an apocalyptic number.

1013455148160 is a gapful number since it is divisible by the number (10) 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 1013455148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160287539200).

1013455148160 is an abundant number, since it is smaller than the sum of its proper divisors (3307119930240).

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

1013455148160 is a wasteful number, since it uses less digits than its factorization.

1013455148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 1013455148160 in words is "one trillion, thirteen billion, four hundred fifty-five million, one hundred forty-eight thousand, one hundred sixty".