1138148153856 has 1600 divisors, whose sum is σ = 4277940480000. Its totient is φ = 300429803520.

The previous prime is 1138148153837. The next prime is 1138148153867. The reversal of 1138148153856 is 6583518418311.

1138148153856 is a `hidden beast` number, since 1 + 1 + 3 + 81 + 481 + 5 + 3 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2764800) is a multiple of the sum of its prime factors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12788181460 + ... + 12788181548.

It is an arithmetic number, because the mean of its divisors is an integer number (2673712800).

Almost surely, 2^{1138148153856} is an apocalyptic number.

1138148153856 is a gapful number since it is divisible by the number (16) 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 1138148153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138970240000).

1138148153856 is an abundant number, since it is smaller than the sum of its proper divisors (3139792326144).

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

1138148153856 is an frugal number, since it uses more digits than its factorization.

1138148153856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 1138148153856 in words is "one trillion, one hundred thirty-eight billion, one hundred forty-eight million, one hundred fifty-three thousand, eight hundred fifty-six".