146116603776 has 256 divisors, whose sum is σ = 462234689280. Its totient is φ = 40310784000.

The previous prime is 146116603769. The next prime is 146116603783. The reversal of 146116603776 is 677306611641.

It is an interprime number because it is at equal distance from previous prime (146116603769) and next prime (146116603783).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3990351 + ... + 4026801.

It is an arithmetic number, because the mean of its divisors is an integer number (1805604255).

Almost surely, 2^146116603776 is an apocalyptic number.

146116603776 is a gapful number since it is divisible by the number (16) 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 146116603776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231117344640).

146116603776 is an abundant number, since it is smaller than the sum of its proper divisors (316118085504).

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

146116603776 is a wasteful number, since it uses less digits than its factorization.

146116603776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36565 (or 36553 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 146116603776 in words is "one hundred forty-six billion, one hundred sixteen million, six hundred three thousand, seven hundred seventy-six".