290069434368 has 1248 divisors, whose sum is σ = 1099109007360. Its totient is φ = 74530160640.

The previous prime is 290069434331. The next prime is 290069434393. The reversal of 290069434368 is 863434960092.

290069434368 is a `hidden beast` number, since 2 + 90 + 0 + 69 + 434 + 3 + 68 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3671764953 + ... + 3671765031.

It is an arithmetic number, because the mean of its divisors is an integer number (880696320).

Almost surely, 2^290069434368 is an apocalyptic number.

290069434368 is a gapful number since it is divisible by the number (28) 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 290069434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549554503680).

290069434368 is an abundant number, since it is smaller than the sum of its proper divisors (809039572992).

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

290069434368 is an equidigital number, since it uses as much as digits as its factorization.

290069434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 290069434368 in words is "two hundred ninety billion, sixty-nine million, four hundred thirty-four thousand, three hundred sixty-eight".