145574226110808 has 2048 divisors, whose sum is σ = 506847559680000. Its totient is φ = 38187749376000.

The previous prime is 145574226110771. The next prime is 145574226110821. The reversal of 145574226110808 is 808011622475541.

145574226110808 is a `hidden beast` number, since 1 + 4 + 5 + 57 + 422 + 61 + 108 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 417118126218 + ... + 417118126566.

It is an arithmetic number, because the mean of its divisors is an integer number (247484160000).

Almost surely, 2^{145574226110808} is an apocalyptic number.

145574226110808 is a gapful number since it is divisible by the number (18) 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 145574226110808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253423779840000).

145574226110808 is an abundant number, since it is smaller than the sum of its proper divisors (361273333569192).

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

145574226110808 is a wasteful number, since it uses less digits than its factorization.

145574226110808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 145574226110808 in words is "one hundred forty-five trillion, five hundred seventy-four billion, two hundred twenty-six million, one hundred ten thousand, eight hundred eight".