11253890946816 has 576 divisors, whose sum is σ = 39387996426240. Its totient is φ = 3102734315520.

The previous prime is 11253890946791. The next prime is 11253890946833. The reversal of 11253890946816 is 61864909835211.

11253890946816 is a `hidden beast` number, since 1 + 1 + 2 + 538 + 9 + 0 + 94 + 6 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11253890946816² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172649911 + ... + 172715081.

It is an arithmetic number, because the mean of its divisors is an integer number (68381938240).

Almost surely, 2^{11253890946816} is an apocalyptic number.

11253890946816 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 11253890946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19693998213120).

11253890946816 is an abundant number, since it is smaller than the sum of its proper divisors (28134105479424).

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

11253890946816 is an equidigital number, since it uses as much as digits as its factorization.

11253890946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65329 (or 65309 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 11253890946816 in words is "eleven trillion, two hundred fifty-three billion, eight hundred ninety million, nine hundred forty-six thousand, eight hundred sixteen".