345148950720 has 896 divisors, whose sum is σ = 1330004017152. Its totient is φ = 74185113600.

The previous prime is 345148950677. The next prime is 345148950721. The reversal of 345148950720 is 27059841543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 345148950720.

It is not an unprimeable number, because it can be changed into a prime (345148950721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1995080554 + ... + 1995080726.

Almost surely, 2^345148950720 is an apocalyptic number.

345148950720 is a gapful number since it is divisible by the number (30) 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 345148950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665002008576).

345148950720 is an abundant number, since it is smaller than the sum of its proper divisors (984855066432).

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

345148950720 is a wasteful number, since it uses less digits than its factorization.

345148950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 345148950720 in words is "three hundred forty-five billion, one hundred forty-eight million, nine hundred fifty thousand, seven hundred twenty".