345452421253050 has 288 divisors, whose sum is σ = 967288458951360. Its totient is φ = 88311996748800.

The previous prime is 345452421253007. The next prime is 345452421253111. The reversal of 345452421253050 is 50352124254543.

345452421253050 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 52 + 4 + 2 + 12 + 530 + 50 = 666.

It is a super-2 number, since 2×345452421253050² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 345452421252987 and 345452421253005.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2539519137 + ... + 2539655163.

It is an arithmetic number, because the mean of its divisors is an integer number (3358640482470).

Almost surely, 2^{345452421253050} is an apocalyptic number.

345452421253050 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 345452421253050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483644229475680).

345452421253050 is an abundant number, since it is smaller than the sum of its proper divisors (621836037698310).

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

345452421253050 is a wasteful number, since it uses less digits than its factorization.

345452421253050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138478 (or 138470 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 345452421253050 in words is "three hundred forty-five trillion, four hundred fifty-two billion, four hundred twenty-one million, two hundred fifty-three thousand, fifty".