623145541326 has 256 divisors, whose sum is σ = 1741452410880. Its totient is φ = 143513856000.

The previous prime is 623145541313. The next prime is 623145541363.

623145541326 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26998371 + ... + 27021441.

It is an arithmetic number, because the mean of its divisors is an integer number (6802548480).

Almost surely, 2^623145541326 is an apocalyptic number.

623145541326 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 623145541326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870726205440).

623145541326 is an abundant number, since it is smaller than the sum of its proper divisors (1118306869554).

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

623145541326 is a wasteful number, since it uses less digits than its factorization.

623145541326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23311.

The product of its digits is 518400, while the sum is 42.

The spelling of 623145541326 in words is "six hundred twenty-three billion, one hundred forty-five million, five hundred forty-one thousand, three hundred twenty-six".