10648153641216 has 1728 divisors, whose sum is σ = 38783406735360. Its totient is φ = 2570343874560.

The previous prime is 10648153641187. The next prime is 10648153641269. The reversal of 10648153641216 is 61214635184601.

It is a super-2 number, since 2×10648153641216² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119642175700 + ... + 119642175788.

It is an arithmetic number, because the mean of its divisors is an integer number (22444101120).

Almost surely, 2^{10648153641216} is an apocalyptic number.

10648153641216 is a gapful number since it is divisible by the number (16) 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 10648153641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19391703367680).

10648153641216 is an abundant number, since it is smaller than the sum of its proper divisors (28135253094144).

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

10648153641216 is an frugal number, since it uses more digits than its factorization.

10648153641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 10648153641216 in words is "ten trillion, six hundred forty-eight billion, one hundred fifty-three million, six hundred forty-one thousand, two hundred sixteen".