146057470350 has 192 divisors, whose sum is σ = 398554490880. Its totient is φ = 35104320000.

The previous prime is 146057470343. The next prime is 146057470357. The reversal of 146057470350 is 53074750641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (146057470343) and next prime (146057470357).

It is a super-2 number, since 2×146057470350² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146057470357) by changing a digit.

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, 143052840 + ... + 143053860.

It is an arithmetic number, because the mean of its divisors is an integer number (2075804640).

Almost surely, 2^146057470350 is an apocalyptic number.

146057470350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146057470350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199277245440).

146057470350 is an abundant number, since it is smaller than the sum of its proper divisors (252497020530).

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

146057470350 is a wasteful number, since it uses less digits than its factorization.

146057470350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 146057470350 in words is "one hundred forty-six billion, fifty-seven million, four hundred seventy thousand, three hundred fifty".