11246738661072 has 320 divisors, whose sum is σ = 34598431272960. Its totient is φ = 3485587562496.

The previous prime is 11246738661071. The next prime is 11246738661127. The reversal of 11246738661072 is 27016683764211.

11246738661072 is a `hidden beast` number, since 1 + 1 + 246 + 7 + 386 + 6 + 10 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11246738661071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199442193 + ... + 199498575.

It is an arithmetic number, because the mean of its divisors is an integer number (108120097728).

Almost surely, 2^{11246738661072} is an apocalyptic number.

11246738661072 is a gapful number since it is divisible by the number (12) 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 11246738661072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299215636480).

11246738661072 is an abundant number, since it is smaller than the sum of its proper divisors (23351692611888).

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

11246738661072 is a wasteful number, since it uses less digits than its factorization.

11246738661072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56747 (or 56735 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 11246738661072 in words is "eleven trillion, two hundred forty-six billion, seven hundred thirty-eight million, six hundred sixty-one thousand, seventy-two".