1388852822016 has 945 divisors, whose sum is σ = 4729962880839. Its totient is φ = 407288217600.

The previous prime is 1388852821987. The next prime is 1388852822029. The reversal of 1388852822016 is 6102282588831.

The square root of 1388852822016 is 1178496.

It is a perfect power (a square), and thus also a powerful number.

1388852822016 is a `hidden beast` number, since 1 + 3 + 8 + 88 + 528 + 2 + 20 + 16 = 666.

It is a super-2 number, since 2×1388852822016² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 44801703921 + ... + 44801703951.

Almost surely, 2^{1388852822016} is an apocalyptic number.

1388852822016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1388852822016 is the 1178496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1388852822016

1388852822016 is an abundant number, since it is smaller than the sum of its proper divisors (3341110058823).

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

1388852822016 is an frugal number, since it uses more digits than its factorization.

1388852822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 1388852822016 in words is "one trillion, three hundred eighty-eight billion, eight hundred fifty-two million, eight hundred twenty-two thousand, sixteen".