145559895650208 has 864 divisors, whose sum is σ = 468609656913216. Its totient is φ = 44237779955712.

The previous prime is 145559895650089. The next prime is 145559895650209. The reversal of 145559895650208 is 802056598955541.

145559895650208 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 59 + 8 + 9 + 565 + 0 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (145559895650209) 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, 152738609860 + ... + 152738610812.

It is an arithmetic number, because the mean of its divisors is an integer number (542372288094).

Almost surely, 2^{145559895650208} is an apocalyptic number.

145559895650208 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 145559895650208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234304828456608).

145559895650208 is an abundant number, since it is smaller than the sum of its proper divisors (323049761263008).

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

145559895650208 is an equidigital number, since it uses as much as digits as its factorization.

145559895650208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 777600000, while the sum is 72.

The spelling of 145559895650208 in words is "one hundred forty-five trillion, five hundred fifty-nine billion, eight hundred ninety-five million, six hundred fifty thousand, two hundred eight".