425664523416000 has 896 divisors, whose sum is σ = 1600399214548992. Its totient is φ = 98679398400000.

The previous prime is 425664523415981. The next prime is 425664523416029. The reversal of 425664523416000 is 614325466524.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34325009800 + ... + 34325022200.

Almost surely, 2^{425664523416000} is an apocalyptic number.

425664523416000 is a gapful number since it is divisible by the number (40) 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 425664523416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800199607274496).

425664523416000 is an abundant number, since it is smaller than the sum of its proper divisors (1174734691132992).

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

425664523416000 is a wasteful number, since it uses less digits than its factorization.

425664523416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18118 (or 18098 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 425664523416000 in words is "four hundred twenty-five trillion, six hundred sixty-four billion, five hundred twenty-three million, four hundred sixteen thousand".