10661411994948 has 768 divisors, whose sum is σ = 34362254868480. Its totient is φ = 2850207575040.

The previous prime is 10661411994943. The next prime is 10661411994967. The reversal of 10661411994948 is 84949911416601.

10661411994948 is a `hidden beast` number, since 1 + 0 + 6 + 614 + 1 + 1 + 9 + 9 + 4 + 9 + 4 + 8 = 666.

10661411994948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10661411994948² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10661411994943) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2528196136 + ... + 2528200352.

It is an arithmetic number, because the mean of its divisors is an integer number (44742519360).

Almost surely, 2^{10661411994948} is an apocalyptic number.

10661411994948 is a gapful number since it is divisible by the number (18) 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 10661411994948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17181127434240).

10661411994948 is an abundant number, since it is smaller than the sum of its proper divisors (23700842873532).

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

10661411994948 is a wasteful number, since it uses less digits than its factorization.

10661411994948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 10661411994948 in words is "ten trillion, six hundred sixty-one billion, four hundred eleven million, nine hundred ninety-four thousand, nine hundred forty-eight".