146849226480 has 320 divisors, whose sum is σ = 552789619200. Its totient is φ = 35535790080.

The previous prime is 146849226479. The next prime is 146849226493. The reversal of 146849226480 is 84622948641.

It is a happy number.

146849226480 is a `hidden beast` number, since 1 + 468 + 49 + 2 + 2 + 64 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13941856 + ... + 13952384.

It is an arithmetic number, because the mean of its divisors is an integer number (1727467560).

Almost surely, 2^146849226480 is an apocalyptic number.

146849226480 is a gapful number since it is divisible by the number (10) 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 146849226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276394809600).

146849226480 is an abundant number, since it is smaller than the sum of its proper divisors (405940392720).

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

146849226480 is a wasteful number, since it uses less digits than its factorization.

146849226480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11149 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 146849226480 in words is "one hundred forty-six billion, eight hundred forty-nine million, two hundred twenty-six thousand, four hundred eighty".