6454381528000 has 1344 divisors, whose sum is σ = 19938999674880. Its totient is φ = 2060577792000.

The previous prime is 6454381527959. The next prime is 6454381528003. The reversal of 6454381528000 is 8251834546.

It is a super-2 number, since 2×6454381528000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6454381528003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49270087935 + ... + 49270088065.

Almost surely, 2^{6454381528000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6454381528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969499837440).

6454381528000 is an abundant number, since it is smaller than the sum of its proper divisors (13484618146880).

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

6454381528000 is a wasteful number, since it uses less digits than its factorization.

6454381528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 6454381528000 in words is "six trillion, four hundred fifty-four billion, three hundred eighty-one million, five hundred twenty-eight thousand".