145089040411084 has 432 divisors, whose sum is σ = 351155855812608. Its totient is φ = 52107656832000.

The previous prime is 145089040411039. The next prime is 145089040411247. The reversal of 145089040411084 is 480114040980541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4075173627 + ... + 4075209229.

It is an arithmetic number, because the mean of its divisors is an integer number (812860777344).

Almost surely, 2^{145089040411084} is an apocalyptic number.

145089040411084 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 145089040411084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175577927906304).

145089040411084 is an abundant number, since it is smaller than the sum of its proper divisors (206066815401524).

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

145089040411084 is a wasteful number, since it uses less digits than its factorization.

145089040411084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35938 (or 35918 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 145089040411084 in words is "one hundred forty-five trillion, eighty-nine billion, forty million, four hundred eleven thousand, eighty-four".