1138470906144 has 864 divisors, whose sum is σ = 3958542584640. Its totient is φ = 283739258880.

The previous prime is 1138470906143. The next prime is 1138470906179. The reversal of 1138470906144 is 4416090748311.

It is a super-2 number, since 2×1138470906144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1138470906093 and 1138470906102.

It is not an unprimeable number, because it can be changed into a prime (1138470906143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 829184242 + ... + 829185614.

It is an arithmetic number, because the mean of its divisors is an integer number (4581646510).

Almost surely, 2^{1138470906144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138470906144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979271292320).

1138470906144 is an abundant number, since it is smaller than the sum of its proper divisors (2820071678496).

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

1138470906144 is a wasteful number, since it uses less digits than its factorization.

1138470906144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 1138470906144 in words is "one trillion, one hundred thirty-eight billion, four hundred seventy million, nine hundred six thousand, one hundred forty-four".