146336636448 has 192 divisors, whose sum is σ = 441987840000. Its totient is φ = 47048343552.

The previous prime is 146336636437. The next prime is 146336636449. The reversal of 146336636448 is 844636633641.

It is a super-2 number, since 2×146336636448² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146336636394 and 146336636403.

It is not an unprimeable number, because it can be changed into a prime (146336636449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30490753 + ... + 30495551.

It is an arithmetic number, because the mean of its divisors is an integer number (2302020000).

Almost surely, 2^146336636448 is an apocalyptic number.

146336636448 is a gapful number since it is divisible by the number (18) 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 146336636448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220993920000).

146336636448 is an abundant number, since it is smaller than the sum of its proper divisors (295651203552).

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

146336636448 is a wasteful number, since it uses less digits than its factorization.

146336636448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6050 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 146336636448 in words is "one hundred forty-six billion, three hundred thirty-six million, six hundred thirty-six thousand, four hundred forty-eight".