1377572664456 has 384 divisors, whose sum is σ = 4055273164800. Its totient is φ = 421361740800.

The previous prime is 1377572664409. The next prime is 1377572664463. The reversal of 1377572664456 is 6544662757731.

1377572664456 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 572 + 6 + 6 + 4 + 4 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1377572664393 and 1377572664402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1310725131 + ... + 1310726181.

It is an arithmetic number, because the mean of its divisors is an integer number (10560607200).

Almost surely, 2^{1377572664456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377572664456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027636582400).

1377572664456 is an abundant number, since it is smaller than the sum of its proper divisors (2677700500344).

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

1377572664456 is a wasteful number, since it uses less digits than its factorization.

1377572664456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1434 counting only the distinct ones).

The product of its digits is 177811200, while the sum is 63.

The spelling of 1377572664456 in words is "one trillion, three hundred seventy-seven billion, five hundred seventy-two million, six hundred sixty-four thousand, four hundred fifty-six".