151663105440 has 576 divisors, whose sum is σ = 666087432192. Its totient is φ = 30497126400.

The previous prime is 151663105367. The next prime is 151663105513. The reversal of 151663105440 is 44501366151.

151663105440 is a `hidden beast` number, since 1 + 5 + 16 + 631 + 0 + 5 + 4 + 4 + 0 = 666.

151663105440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151663105367) and next prime (151663105513).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151663105395 and 151663105404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3415219 + ... + 3459341.

It is an arithmetic number, because the mean of its divisors is an integer number (1156401792).

Almost surely, 2^151663105440 is an apocalyptic number.

151663105440 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 151663105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333043716096).

151663105440 is an abundant number, since it is smaller than the sum of its proper divisors (514424326752).

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

151663105440 is a wasteful number, since it uses less digits than its factorization.

151663105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44193 (or 44182 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 151663105440 in words is "one hundred fifty-one billion, six hundred sixty-three million, one hundred five thousand, four hundred forty".