1329947781048 has 192 divisors, whose sum is σ = 3918588710400. Its totient is φ = 421999320960.

The previous prime is 1329947781031. The next prime is 1329947781061. The reversal of 1329947781048 is 8401877499231.

1329947781048 is a `hidden beast` number, since 1 + 32 + 99 + 477 + 8 + 1 + 0 + 48 = 666.

It is a super-2 number, since 2×1329947781048² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3836565 + ... + 4168827.

It is an arithmetic number, because the mean of its divisors is an integer number (20409316200).

Almost surely, 2^{1329947781048} is an apocalyptic number.

1329947781048 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 1329947781048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959294355200).

1329947781048 is an abundant number, since it is smaller than the sum of its proper divisors (2588640929352).

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

1329947781048 is a wasteful number, since it uses less digits than its factorization.

1329947781048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332384 (or 332368 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1329947781048 in words is "one trillion, three hundred twenty-nine billion, nine hundred forty-seven million, seven hundred eighty-one thousand, forty-eight".