1013849145720 has 320 divisors, whose sum is σ = 3562937928000. Its totient is φ = 258087278592.

The previous prime is 1013849145719. The next prime is 1013849145761. The reversal of 1013849145720 is 275419483101.

1013849145720 is a `hidden beast` number, since 1 + 0 + 1 + 38 + 49 + 1 + 4 + 572 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37917316 + ... + 37944044.

It is an arithmetic number, because the mean of its divisors is an integer number (11134181025).

Almost surely, 2^{1013849145720} is an apocalyptic number.

1013849145720 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 1013849145720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781468964000).

1013849145720 is an abundant number, since it is smaller than the sum of its proper divisors (2549088782280).

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

1013849145720 is a wasteful number, since it uses less digits than its factorization.

1013849145720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27284 (or 27271 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1013849145720 in words is "one trillion, thirteen billion, eight hundred forty-nine million, one hundred forty-five thousand, seven hundred twenty".