6434555148000 has 2880 divisors, whose sum is σ = 29373720405120. Its totient is φ = 1327656960000.

The previous prime is 6434555147957. The next prime is 6434555148019. The reversal of 6434555148000 is 8415554346.

6434555148000 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 55 + 514 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 42612947925 + ... + 42612948075.

It is an arithmetic number, because the mean of its divisors is an integer number (10199208474).

Almost surely, 2^{6434555148000} is an apocalyptic number.

6434555148000 is a gapful number since it is divisible by the number (60) 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 6434555148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14686860202560).

6434555148000 is an abundant number, since it is smaller than the sum of its proper divisors (22939165257120).

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

6434555148000 is a wasteful number, since it uses less digits than its factorization.

6434555148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 6434555148000 in words is "six trillion, four hundred thirty-four billion, five hundred fifty-five million, one hundred forty-eight thousand".