348959214450 has 1008 divisors, whose sum is σ = 1245940254720. Its totient is φ = 71131737600.

The previous prime is 348959214389. The next prime is 348959214509. The reversal of 348959214450 is 54412959843.

It is a happy number.

348959214450 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 592 + 1 + 4 + 45 + 0 = 666.

It is a super-2 number, since 2×348959214450² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 2747710287 + ... + 2747710413.

It is an arithmetic number, because the mean of its divisors is an integer number (1236051840).

Almost surely, 2^348959214450 is an apocalyptic number.

348959214450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 348959214450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622970127360).

348959214450 is an abundant number, since it is smaller than the sum of its proper divisors (896981040270).

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

348959214450 is a wasteful number, since it uses less digits than its factorization.

348959214450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 348959214450 in words is "three hundred forty-eight billion, nine hundred fifty-nine million, two hundred fourteen thousand, four hundred fifty".