11763069490368 has 784 divisors, whose sum is σ = 41364025593856. Its totient is φ = 3246428989440.

The previous prime is 11763069490357. The next prime is 11763069490409. The reversal of 11763069490368 is 86309496036711.

11763069490368 is a `hidden beast` number, since 1 + 1 + 76 + 30 + 6 + 94 + 90 + 368 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10762185630 + ... + 10762186722.

Almost surely, 2^{11763069490368} is an apocalyptic number.

11763069490368 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 11763069490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20682012796928).

11763069490368 is an abundant number, since it is smaller than the sum of its proper divisors (29600956103488).

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

11763069490368 is a wasteful number, since it uses less digits than its factorization.

11763069490368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 11763069490368 in words is "eleven trillion, seven hundred sixty-three billion, sixty-nine million, four hundred ninety thousand, three hundred sixty-eight".